Question

In: Math

What is the L.C.M and H.C.F of the fractions 6/5,3/5and15/11?

Expert Solution

As we know that,

L.C.M of fractions=LCM of numeratorsHCF of denominators

H.C.F of fractions=HCF of numeratorsLCM of denominators

Prime Factorisation

1. L.C.M of the fractions 6/5,3/5and15/11

LCM of numerators

So L.C.M of 6, 3 and 15 = 2 × 3 × 5 = 30

HCF of denominators

And H.C.F of 5, 5 and 11 = 1

L.C.M of fractions=LCM of numeratorsHCF of denominators

Hence L.C.M of 6/5,3/5and15/11=30/1=30

2. H.C.F of the fractions 6/5,3/5and15/11

HCF of numerators

Similarly H.C.F of 6, 3 and 15 = 3

LCM of denominators

And L.C.M of 5, 5 and 11 = 55

H.C.F of fractions=HCF of numeratorsLCM of denominators

Hence H.C.F of 6/5,3/5and15/11=3/55

∴ the L.C.M and H.C.F of the fractions 6/5,3/5and15/11 is 30, 3/55

LCM=30

HCF=3/55

Nipun Maity answered 2 years ago

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