Least Common Multiple of 21/547, 40/363, 139/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/547, 40/363, 139/892 quickly i.e. 116760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/547, 40/363, 139/892 is 116760.

LCM(21/547, 40/363, 139/892) = 116760

LCM of 21/547, 40/363, 139/892

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 21/547,40/363,139/892

Given numbers are 21/547,40/363,139/892

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 21,40,139

Least Common Multiple of Numerators i.e. LCM of 21,40,139 is 116760.

GCF of Denominators means GCF of 547,363,892 as per the given fractions.

GCF of 547,363,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,40,139

LCM of Fractions 21/547,40/363,139/892 is 116760

Given numbers has no common factors except 1. So, there LCM is their product i.e 116760

Least Common Multiple of 21,40,139 with GCF Formula

Least Common Multiple of 21,40,139 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 21,40,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,40,139) = 1

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

GCF(21,40,139) x common factors =1 x 1 = 1

LCM(21,40,139) = ( 21 × 40 × 139 ) / 1

LCM(21,40,139) = 116760 / 1

LCM(21,40,139) = 116760


Lets's calculate GCF of 547,363,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116760/1

Therefore the LCM of Fractions 21/547,40/363,139/892 is 116760

Greatest Common Factor of 547,363,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,363,892 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 547,363,892 . The biggest common factor number is the GCF number.
So the greatest common factor 547,363,892 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 21/547, 40/363, 139/892

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 21/547, 40/363, 139/892?

Answer: LCM of Numerators as per given numbers 21/547, 40/363, 139/892 is

LCM of Numerators i.e. for 21,40,139 is 116760

GCF of denominators i.e. for 547,363,892 is 1.

Thus, LCM of Fractions is 116760.Finally, LCM of Fractions for 21/547, 40/363, 139/892 is 116760.