Least Common Multiple of 31/984, 2020/1142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/984, 2020/1142 quickly i.e. 31310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/984, 2020/1142 is 31310.

LCM(31/984, 2020/1142) = 31310

LCM of 31/984, 2020/1142

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 31/984,2020/1142

Given numbers are 31/984,2020/1142

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 31,2020

Least Common Multiple of Numerators i.e. LCM of 31,2020 is 62620.

GCF of Denominators means GCF of 984,1142 as per the given fractions.

GCF of 984,1142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,2020

LCM of Fractions 31/984,2020/1142 is 31310

Given numbers has no common factors except 1. So, there LCM is their product i.e 62620

Least Common Multiple of 31,2020 with GCF Formula

Least Common Multiple of 31,2020 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 31,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2020) = 1

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

GCF(31,2020) x common factors =1 x 1 = 1

LCM(31,2020) = ( 31 × 2020 ) / 1

LCM(31,2020) = 62620 / 1

LCM(31,2020) = 62620


Lets's calculate GCF of 984,1142

2 984, 1142
492, 571

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62620/2

Therefore the LCM of Fractions 31/984,2020/1142 is 31310

Greatest Common Factor of 984,1142 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,1142 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 1142

List of positive integer factors of 1142 that divides 1142 without a remainder.

1,2,571,1142

Greatest Common Factor

We found the factors 984,1142 . The biggest common factor number is the GCF number.
So the greatest common factor 984,1142 is 2.


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 31/984, 2020/1142

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 31/984, 2020/1142?

Answer: LCM of Numerators as per given numbers 31/984, 2020/1142 is

LCM of Numerators i.e. for 31,2020 is 62620

GCF of denominators i.e. for 984,1142 is 2.

Thus, LCM of Fractions is 31310.Finally, LCM of Fractions for 31/984, 2020/1142 is 31310.