Multiple Choice Questions

Find the LCM of following three fractions 36 225 48 150 72 65 ........

Quantitative Aptitude (CSC) LCM, HCF

Find the LCM of following three fractions:

36/225,48/150,72/65

72/225

36/65

144/5

288/5

LCM of fractionLCM of numerators/HCF of denominators

Numerators = 36, 48 and 72.

72 is largest number among them. 72 is not divisible by 36 or 48

Start with table of 72.

72 x 2 = 144 = divisible by 72, 36 and 48

∴ LCM of numerators = 144

Denominators = 225, 150 and 65

We can see that they can be divided by 5.

On dividing by 5 we get 45, 30 and 13

We cannot divide further.

So, HCF = GCD = 5

LCM of fraction = 144/5

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