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Question

# Find the LCM of the following: 66a4b2c3,44a3b4c2,24a2b3c4

A
264a4b4c4
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B
24a4b4c4
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C
246a4b4c4
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D
None of these
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Solution

## The correct option is A 264a4b4c4We know that the least common multiple (LCM) is the smallest number or expression that is a common multiple of two or more numbers or algebraic terms.We first factorize the given monomials 66a4b2c3,44a3b4c2 and 24a2b3c4 as shown below:66a4b2c3=2×3×11×a×a×a×a×b×b×c×c×c44a3b4c2=2×2×11×a×a×a×b×b×b×b×c×c24a2b3c4=2×2×2×3×a×a×b×b×b×c×c×c×cNow multiply all the factors, using each common factor only once, therefore, the LCM is:2×2×2×3×11×a×a×a×a×b×b×b×b×c×c×c×c=264a4b4c4Hence, the LCM of 66a4b2c3,44a3b4c2 and 24a2b3c4 is 264a4b4c4.

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