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The LCM of fractions is calculated as LCM of the numeratorHCF of the denominator\frac{LCM \space of \space the \space nu
Question

The LCM of fractions is calculated as LCM of the numeratorHCF of the denominator\frac{LCM \space of \space the \space numerator}{HCF \space of \space the \space denominator}​. Find the LCM of 56,65\frac{5}{6} , \frac{6}{5} and 32.\frac{3}{2}.​​

A.

25

B.

30

C.

15

D.

20

Correct option is B

Given: 

56,65,32\frac56, \frac65, \frac32 

Solution:   

For LCM :

5 = 5×\times 1

6 = 2 ×\times 3

3 = 3 ×\times 1 

LCM = 2×\times3×\times5 = 30 

For HCF:

6 = 2×\times3

5 =  1×\times5

2 =  1×\times2

HCF is 1 

So, LCM of the fraction =  301\frac{30}1​  = 30 


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