Find the LCM of 16a and 14ab?.....
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1 Answer

Factorise each expression:

16a=24×a, so factors are 2, 2, 2, 2, a

14ab=2×7×a×b, so factors are 2, 7, a, b

So put together the whole set of factors: 2, 2, 2, 2, 7, a, b (without repeating factors which are common).

Multiply these 112ab. This is the LCM, because 112ab/16a=7b and 112ab/14ab=8, that is, both expressions are factors of the LCM, and the individual divisors have no common factors, so 112ab is the smallest common multiple.

by Top Rated User (981k points)

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