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Q.

Find the H.C.F and L.C.M of the pairs of integers and verify that

$LCM (a, b) \times HCF (a \times b) = a \times b$ for 125 and 55

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a

LCM = 1375, HCF = 5

b

LCM = 1475, HCF = 6

c

LCM = 1575, HCF = 7

d

LCM = 1675, HCF = 8

answer is A.

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Detailed Solution

Concept- Then substitute the value of H.C.F and L.C.M in the given equation

LCM (a, b) \times HCF (a \times b) = a \times b

to verify the equation.
Prime factorization of:

125 = 5 \times 5 \times 5

55 = 5 \times 11

5 \times 5 \times 11 = 275

275 \times 5 = 1375

Hence, the correct option is 1.

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