Question

Find the LCM of 2/5, 3/5 and 6/25
What is the LCM of 2/5, 3/5 and 6/25?

Answer 1

LCM of 2/5 is 10 , 3/5 is 15 and 6/25 is 150

Answer 2

LCM of 2/5, 3/5 and 6/25 is6/5.

Given:

2/5, 3/5 and 6/25

To find:

Find the LCM of 2/5, 3/5 and 6/25

Solution:

To find the LCM of a fraction, we have to find LCM of numerator and HCF of denominator

LCM of fraction =  LCM of numerator/ HCF of denominator

First, we will find LCM of numerator

Numerators are 2,3 and 6

2 = 1*2

3 = 1*3

6 = 1*2*3

So, we will take highest powers of 1,2 and 3 which is 1

LCM = 1*2*3 = 6

Now, we will find HCF of denominator

Denominators are 5, 5 and 25

5 = 1*5

25 = 1*5*5

Common factors are 1 and 5

HCF = 1*5 = 5

LCM = 6/5

Hence, answer is 6/5.

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