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Question

If a = 150 and b = 250, Find the H.C.F. and L.C.M of a and b. Also, show that the product of H.C.F and L.C.M is equal to product of a and b

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Solution

The prime factorization of 150=2×3×5×5
The prime factorization of 250=2×5×5×5
H.C.F=2×5×5=50
L.C.M=2×5×5×5×3=750
The product of HCF and LCM = 50×750=37500
Also, a×b=150×250=37500
So the product of given numbers = product of HCF and LCM.

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