Question

The LCM of the fractions 21/ 3 and 3/6 is how many times their HCF?
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Answer 1

Solution :-

we know that,

→ LCM of two fractions = LCM of numerators / HCF of denominators .

So,

→ LCM [(21/3) and (3/6)]

→ LCM [7 and (1/2)]

→ LCM (7 and 1) / HCF (1 and 2)

→ 7/1

→ 7

also,

→ HCF of two fractions = HCF of numerators / LCM of denominators .

So,

→ HCF [(21/3) and (3/6)]

→ HCF [7 and (1/2)]

→ HCF (7 and 1) / LCM (1 and 2)

→ (1/2)

then,

→ LCM / HCF

→ 7 / (1/2)

→ 7 * 2

→ 14 Times (Ans.)

Hence, LCM is 14 times of their HCF .

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