Least Common Multiple of 5744/992, 6978/9137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5744/992, 6978/9137 quickly i.e. 20040816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5744/992, 6978/9137 is 20040816.

LCM(5744/992, 6978/9137) = 20040816

LCM of 5744/992, 6978/9137

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 5744/992,6978/9137

Given numbers are 5744/992,6978/9137

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 5744,6978

Least Common Multiple of Numerators i.e. LCM of 5744,6978 is 20040816.

GCF of Denominators means GCF of 992,9137 as per the given fractions.

GCF of 992,9137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5744,6978

LCM of Fractions 5744/992,6978/9137 is 20040816

2 5744, 6978
2872, 3489

∴ So the LCM of the given numbers is 2 x 2872 x 3489 = 20040816

Least Common Multiple of 5744,6978 with GCF Formula

Least Common Multiple of 5744,6978 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 5744,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5744,6978) = 2

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

GCF(5744,6978) x common factors =2 x 1 = 2

LCM(5744,6978) = ( 5744 × 6978 ) / 2

LCM(5744,6978) = 40081632 / 2

LCM(5744,6978) = 20040816


Lets's calculate GCF of 992,9137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20040816/1

Therefore the LCM of Fractions 5744/992,6978/9137 is 20040816

Greatest Common Factor of 992,9137 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,9137 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 9137

List of positive integer factors of 9137 that divides 9137 without a remainder.

1,9137

Greatest Common Factor

We found the factors 992,9137 . The biggest common factor number is the GCF number.
So the greatest common factor 992,9137 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 5744/992, 6978/9137

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 5744/992, 6978/9137?

Answer: LCM of Numerators as per given numbers 5744/992, 6978/9137 is

LCM of Numerators i.e. for 5744,6978 is 20040816

GCF of denominators i.e. for 992,9137 is 1.

Thus, LCM of Fractions is 20040816.Finally, LCM of Fractions for 5744/992, 6978/9137 is 20040816.