Hint: To solve the given question, we will first find out what are the full forms of LCM and HCF and what they actually are. Then, we will write the numbers 306 and 657 as the product of prime numbers. Then we will select the numbers which are common to both 306 and 657. Then we will multiply these selected numbers. The LCM of these two numbers will be a product of these selected numbers and the remaining numbers. Complete step-by-step answer: The prime factorization of 657 is: Thus, we can say that, \[306=2\times 3\times 3\times 17\] \[657=3\times 3\times 73\] Here, we can see that the numbers 3 and 3 are common to both 306 and 657. Their product will be \[3\times 3=9.\] Now, we will multiply this product to the remaining numbers which will be equal to the LCM of these two numbers. The remaining numbers are 2, 17, and 73. Thus, the LCM will be \[LCM=9\times 2\times 17\times 73\] \[\Rightarrow LCM=22338\] Thus, LCM of 306 and 657 is 22338. Note: The alternate method of finding the LCM of 306 and 657 is shown below. We know that if tow positive integers are given then their product will be equal to the product of HCF and LCM of these two integers. Thus, we can say that, HCF 306 657 9 तो LCM 306 657 क्या होगा?∴ 306 और 657 का लघुत्तम समापर्त्य 22338 है।
306 और 657 का एचसीएफ क्या होगा?306 तथा 657 का HCF ज्ञात कीजिये । HCF का उपयोग करके इनका LCM भी ज्ञात कीजिये । यदि H.C.F. (306, 657) = 9 दिया है।
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