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. The answer to this question is 182. The methods used to find the LCM of 26 and 91 are given below:
LCM of 26 and 91 Using Prime Factorisation MethodBy 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 MethodIn 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.
No more further division can be done. Hence, LCM (26, 91) = 2 × 7 × 13 = 182 LCM of 26 and 91 Using Listing the MultiplesBy 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.
LCM (26, 91) = 182 Related ArticlesLCM Calculator HCF and LCM LCM of Two Numbers Prime Factorization and Division Method for LCM and HCF LCM Formula LCM with Examples Video Lesson on Applications of LCMSolved ExamplesQ. 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 91The LCM of 26 and 91 is 182. The LCM of 26 and 91 can be determined by the following methods Prime factorisation Division Method 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. 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 91The methods to find the LCM of 26 and 91 are explained below.
LCM of 26 and 91 by Listing MultiplesTo calculate the LCM of 26 and 91 by listing out the common multiples, we can follow the given below steps:
∴ The least common multiple of 26 and 91 = 182. LCM of 26 and 91 by Division MethodTo 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.
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 FactorizationPrime 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. ☛ Also Check:
FAQs on LCM of 26 and 91What 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) 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. What are the Methods to Find LCM of 26 and 91?The commonly used methods to find the LCM of 26 and 91 are:
If the LCM of 91 and 26 is 182, Find its GCF.LCM(91, 26) × GCF(91, 26) = 91 × 26 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।
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