Question

Find the least common denominator of the fractions: 1/8,4/5,11/14,11/10.

Answer 1

Given fractions are 1/8,4/5,11/14,11/10

List the multiples of denominators.

Multiples of 5 are 5,10,..,280,..

Multiples of 8 are 8,16,24,...,280,..

Multiples of 14 are 14,28,..., 280,..

Multiples of 10 are 10,20,...,280,..

Least common denominator of given fractions is 280.

 

Answer 2

Write the prime factorization of each number.

8 = 2*2*2 = 2³

5 = 1*5= 5¹

14 = 2*7= 2¹*7¹

10 = 2*5= 2¹*5¹

Multiply highest power of each factor in the either number.

L.C.D =2³*5¹*7¹    

           = 280