26 और 91 का LCM है - 26 aur 91 ka lchm hai

LCM of 26 and 91 is 182. The Lowest Common Multiple (LCM) of any two or more natural numbers is the number that is the lowest of their common multiples. Students can go through the Least Common Multiple (LCM) to understand the concept in a better way. We can use prime factorisation, listing multiples and the division method to find the LCM of given numbers. Learn the simple tricks of finding the least common multiple of 26 and 91 in a precise manner in this article. 

What is LCM of 26 and 91?

The answer to this question is 182. 

26 और 91 का LCM है - 26 aur 91 ka lchm hai

The methods used to find the LCM of 26 and 91 are given below:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 26 and 91 Using Prime Factorisation Method

By prime factorisation method, we can write 26 and 91 as the product of prime numbers, such that;

26 = 2 × 13

91 = 7 × 13

LCM (26, 91) = 2 × 7 × 13 = 182

LCM of 26 and 91 Using Division Method

In this method, we divide the numbers 26 and 91 by their prime factors to determine their LCM. The product of these divisors denotes the least common multiple of 26 and 91. This can be represented as below.

2

26

91

7

13

91

13

13

13

x

1

1

No more further division can be done. 

Hence, LCM (26, 91) = 2 × 7 × 13 = 182

LCM of 26 and 91 Using Listing the Multiples

By listing the multiples of 26 and 91, we can determine the least common multiple of 26 and 91 in an efficient way. The below table shows the multiples of 26 and 91.

Multiples of 26

Multiples of 91

26

91

52

182

78

273

104

364

130

455

156

546

182

637

208

728

234

819

LCM (26, 91) = 182

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26 और 91 का LCM है - 26 aur 91 ka lchm hai

Solved Examples

Q. 1: Calculate the LCM if the product of two numbers is 2366 and their GCD is 13?

Solution: Given 

GCD = 13

Product of numbers = 2366

We know that,

LCM × GCD = Product of numbers

LCM = Product of numbers/GCD

LCM = 2366/13

LCM = 182

Q. 2: Find the LCM of 26 and 91 using prime factorisation method.

Solution: 26 = 2 × 13 

91 = 7 × 13

LCM (26, 91) = 2 × 7 × 13 = 182

Hence the LCM of 26 and 91 is 182.

Frequently Asked Questions on LCM of 26 and 91

What is the LCM of 26 and 91?

The LCM of 26 and 91 is 182.

List out the methods used to find the LCM of 26 and 91.

The LCM of 26 and 91 can be determined by the following methods

Prime factorisation

Division Method

Listing the multiples

How do you find the LCM of 26 and 91 by using the method of listing the multiples?

First list the multiples of 26 and 91

26 = 26, 52, 78, 104, 130, 156, 182,…..

91 = 91, 182, 273, 364,455, 546,…..

The LCM is 182

Therefore the LCM of 26 and 91 is 182.

LCM of 26 and 91 is the smallest number among all common multiples of 26 and 91. The first few multiples of 26 and 91 are (26, 52, 78, 104, 130, . . . ) and (91, 182, 273, 364, 455, . . . ) respectively. There are 3 commonly used methods to find LCM of 26 and 91 - by division method, by prime factorization, and by listing multiples.

What is the LCM of 26 and 91?

Answer: LCM of 26 and 91 is 182.

26 और 91 का LCM है - 26 aur 91 ka lchm hai

Explanation:

The LCM of two non-zero integers, x(26) and y(91), is the smallest positive integer m(182) that is divisible by both x(26) and y(91) without any remainder.

Methods to Find LCM of 26 and 91

The methods to find the LCM of 26 and 91 are explained below.

  • By Listing Multiples
  • By Division Method
  • By Prime Factorization Method

LCM of 26 and 91 by Listing Multiples

26 और 91 का LCM है - 26 aur 91 ka lchm hai

To calculate the LCM of 26 and 91 by listing out the common multiples, we can follow the given below steps:

  • Step 1: List a few multiples of 26 (26, 52, 78, 104, 130, . . . ) and 91 (91, 182, 273, 364, 455, . . . . )
  • Step 2: The common multiples from the multiples of 26 and 91 are 182, 364, . . .
  • Step 3: The smallest common multiple of 26 and 91 is 182.

∴ The least common multiple of 26 and 91 = 182.

LCM of 26 and 91 by Division Method

26 और 91 का LCM है - 26 aur 91 ka lchm hai

To calculate the LCM of 26 and 91 by the division method, we will divide the numbers(26, 91) by their prime factors (preferably common). The product of these divisors gives the LCM of 26 and 91.

  • Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 26 and 91. Write this prime number(2) on the left of the given numbers(26 and 91), separated as per the ladder arrangement.
  • Step 2: If any of the given numbers (26, 91) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.
  • Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 26 and 91 is the product of all prime numbers on the left, i.e. LCM(26, 91) by division method = 2 × 7 × 13 = 182.

LCM of 26 and 91 by Prime Factorization

Prime factorization of 26 and 91 is (2 × 13) = 21 × 131 and (7 × 13) = 71 × 131 respectively. LCM of 26 and 91 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 21 × 71 × 131 = 182.
Hence, the LCM of 26 and 91 by prime factorization is 182.

☛ Also Check:

  • LCM of 3, 5 and 8 - 120
  • LCM of 2, 3 and 6 - 6
  • LCM of 5 and 30 - 30
  • LCM of 39 and 65 - 195
  • LCM of 20 and 25 - 100
  • LCM of 9, 12 and 15 - 180
  • LCM of 64 and 80 - 320

FAQs on LCM of 26 and 91

What is the LCM of 26 and 91?

The LCM of 26 and 91 is 182. To find the least common multiple (LCM) of 26 and 91, we need to find the multiples of 26 and 91 (multiples of 26 = 26, 52, 78, 104 . . . . 182; multiples of 91 = 91, 182, 273, 364) and choose the smallest multiple that is exactly divisible by 26 and 91, i.e., 182.

What is the Least Perfect Square Divisible by 26 and 91?

The least number divisible by 26 and 91 = LCM(26, 91)
LCM of 26 and 91 = 2 × 7 × 13 [Incomplete pair(s): 2, 7, 13]
⇒ Least perfect square divisible by each 26 and 91 = LCM(26, 91) × 2 × 7 × 13 = 33124 [Square root of 33124 = √33124 = ±182]
Therefore, 33124 is the required number.

How to Find the LCM of 26 and 91 by Prime Factorization?

To find the LCM of 26 and 91 using prime factorization, we will find the prime factors, (26 = 2 × 13) and (91 = 7 × 13). LCM of 26 and 91 is the product of prime factors raised to their respective highest exponent among the numbers 26 and 91.
⇒ LCM of 26, 91 = 21 × 71 × 131 = 182.

What are the Methods to Find LCM of 26 and 91?

The commonly used methods to find the LCM of 26 and 91 are:

  • Division Method
  • Prime Factorization Method
  • Listing Multiples

If the LCM of 91 and 26 is 182, Find its GCF.

LCM(91, 26) × GCF(91, 26) = 91 × 26
Since the LCM of 91 and 26 = 182
⇒ 182 × GCF(91, 26) = 2366
Therefore, the greatest common factor (GCF) = 2366/182 = 13.

26 और 91 ka LCM गुना HCF क्या है?

Detailed Solution. ∴ 26, 91 और 117 का महत्तम समापवर्तक 3 है।

LCM कैसे निकले?

सारी संख्याओं को गुणा करें: जब आप सारे गुणनखंडों को गुणा करेंगे, तब जो उत्तर प्राप्त होगा वही आपके दी गई संख्याओं का लघुतम समापवर्त्य या LCM है। , इसलिए, संख्या 18 और 30 का लघुतम समापवर्त्य या LCM 90 है।