Least Common Multiple of 31/120, 21/959, 874/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/120, 21/959, 874/531 quickly i.e. 568974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/120, 21/959, 874/531 is 568974.

LCM(31/120, 21/959, 874/531) = 568974

LCM of 31/120, 21/959, 874/531

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 31/120,21/959,874/531

Given numbers are 31/120,21/959,874/531

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 31,21,874

Least Common Multiple of Numerators i.e. LCM of 31,21,874 is 568974.

GCF of Denominators means GCF of 120,959,531 as per the given fractions.

GCF of 120,959,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,21,874

LCM of Fractions 31/120,21/959,874/531 is 568974

Given numbers has no common factors except 1. So, there LCM is their product i.e 568974

Least Common Multiple of 31,21,874 with GCF Formula

Least Common Multiple of 31,21,874 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 31,21,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,21,874) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,21,874) x common factors =1 x 1 = 1

LCM(31,21,874) = ( 31 × 21 × 874 ) / 1

LCM(31,21,874) = 568974 / 1

LCM(31,21,874) = 568974


Lets's calculate GCF of 120,959,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568974/1

Therefore the LCM of Fractions 31/120,21/959,874/531 is 568974

Greatest Common Factor of 120,959,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,959,531 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 120,959,531 . The biggest common factor number is the GCF number.
So the greatest common factor 120,959,531 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 31/120, 21/959, 874/531

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 31/120, 21/959, 874/531?

Answer: LCM of Numerators as per given numbers 31/120, 21/959, 874/531 is

LCM of Numerators i.e. for 31,21,874 is 568974

GCF of denominators i.e. for 120,959,531 is 1.

Thus, LCM of Fractions is 568974.Finally, LCM of Fractions for 31/120, 21/959, 874/531 is 568974.