Least Common Multiple of 10/32, 12/20, 48/71, 12/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/32, 12/20, 48/71, 12/988 quickly i.e. 240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/32, 12/20, 48/71, 12/988 is 240.

LCM(10/32, 12/20, 48/71, 12/988) = 240

LCM of 10/32, 12/20, 48/71, 12/988

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 10/32,12/20,48/71,12/988

Given numbers are 10/32,12/20,48/71,12/988

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 10,12,48,12

Least Common Multiple of Numerators i.e. LCM of 10,12,48,12 is 240.

GCF of Denominators means GCF of 32,20,71,988 as per the given fractions.

GCF of 32,20,71,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,12,48,12

LCM of Fractions 10/32,12/20,48/71,12/988 is 240

2 10, 12, 48, 12
2 5, 6, 24, 6
3 5, 3, 12, 3
5, 1, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 4 x 1 = 240

Least Common Multiple of 10,12,48,12 with GCF Formula

Least Common Multiple of 10,12,48,12 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 10,12,48,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,12,48,12) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(10,12,48,12) x common factors =2 x 144 = 288

LCM(10,12,48,12) = ( 10 × 12 × 48 × 12 ) / 288

LCM(10,12,48,12) = 69120 / 288

LCM(10,12,48,12) = 240


Lets's calculate GCF of 32,20,71,988

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240/1

Therefore the LCM of Fractions 10/32,12/20,48/71,12/988 is 240

Greatest Common Factor of 32,20,71,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,20,71,988 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 32,20,71,988 . The biggest common factor number is the GCF number.
So the greatest common factor 32,20,71,988 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 10/32, 12/20, 48/71, 12/988

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 10/32, 12/20, 48/71, 12/988?

Answer: LCM of Numerators as per given numbers 10/32, 12/20, 48/71, 12/988 is

LCM of Numerators i.e. for 10,12,48,12 is 240

GCF of denominators i.e. for 32,20,71,988 is 1.

Thus, LCM of Fractions is 240.Finally, LCM of Fractions for 10/32, 12/20, 48/71, 12/988 is 240.