Question

find LCM 8x^4y^2 , 48x^2y^4

Answer 1

Answer:

The given monomials 8x4a2 and 48x2b4 can be factorised as follows:

8x4a2=2×2×2×x×x×x×x×a×a48x2b4=2×2×2×2×3×x×x×b×b×b×b

We know that HCF is the highest common factor, therefore, the HCF of 8x4a2 and 48x2b4 is:

HCF=2×2×2×x×x=8x2

Also, the LCM is the least common multiple, therefore, the LCM of 8x4a2 and 48x2b4 is:

LCM=2×2×2×2×3×x×x×x×x×a×a×b×b×b×b=48x4a2b4