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Ritu Jangid posted an Question

December 26, 2020 • 18:45 pm 30 points

How to calculate lcm? prime factorization method and division method. can someone suggest how we are able to know from which method we have to calculate the lcm

How to Calculate LCM? Prime Factorization Method Following are the steps to obtain LCM through prime factorization method Step I Resolve the given numbers into their prime factors. Step II Find the product of the highest powers of all the factors that occE Step III This product of terms of highest powers of all factors 1s the requ Example 1: Find the LCM of 8, 12 and 15. Solution: 212 28 24 3 15 5 5 6 2 1 Factors of 8 = 2 x 2 x 2 2 Factors of 12 = 2 x 2 x 3 22 x 31 Factors of 15 = 3 x 5 = 3 x 5 Here, the prime factors that occur in the given numbers are 2, 3, and 5 and t Required LCM = 23x 3x 5' 8 x 3 x 5 120 Division Method Following are the steps to obtain LCM through division method Step I Write down the given numbers in a line, separating them by commas. Step II Divide by any one of the prime numbers which exactly divides at leas Step IlI Set down the quotients and the divided numbers in a line below the Step IV Repeat the process until you get a line of numbers which are prime to Step V The product of all divisors and the numbers in the last line will be the Example 2: What will be the LCM of 15, 24, 32 and 45? Solution 215, 24, 32, 45 2 15, 12, 16, 45 2 15, 6, 15, 8, 45 3, 4, 45 15 Required LCM 2 x 2x 2 x 3 x 5 x 4 x 3 1440 1, 1, 4, 3 Comm

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