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help me find the LCM for 112 & 96 would 28 be right?

also on 56 & 96 find LCM of each group of expressions

60,80,50 also.......

I would appreciate any help..........thanks

Answers (2)

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The LCM is the Least Common Multiple. This is easily confused with the GCF, the Greatest Common Factor. The LCM is the smallest number that is a multiple of both numbers. The LCM must be at least equal to the larger of the numbers.

28 is the GCF for 112 & 96.

First, get the prime factorizations of each number.

112 = 2^4 * 7

96 = 2^5 * 3

80 = 2^4 * 5

60 = 2^2 * 3 * 5

56 = 2^3 * 7

50 = 2 * 5^2

To find the LCM, compare the prime factorizations. For 112 and 96,

112 = 2^4 * 7

96 = 2^5 * 3

The LCM for them is 2^5 * 3 * 7, or 672.

For a more detailed explanation, check out the link below.

Reference: purplemath.com/modules/lcm_gcf.htm