Least Common Multiple of 879/20, 237/82, 821/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 879/20, 237/82, 821/790 quickly i.e. 57011061/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 879/20, 237/82, 821/790 is 57011061/2.

LCM(879/20, 237/82, 821/790) = 57011061/2

LCM of 879/20, 237/82, 821/790

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 879/20,237/82,821/790

Given numbers are 879/20,237/82,821/790

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 879,237,821

Least Common Multiple of Numerators i.e. LCM of 879,237,821 is 57011061.

GCF of Denominators means GCF of 20,82,790 as per the given fractions.

GCF of 20,82,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 879,237,821

LCM of Fractions 879/20,237/82,821/790 is 57011061/2

3 879, 237, 821
293, 79, 821

∴ So the LCM of the given numbers is 3 x 293 x 79 x 821 = 57011061

Least Common Multiple of 879,237,821 with GCF Formula

Least Common Multiple of 879,237,821 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 879,237,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,237,821) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(879,237,821) x common factors =1 x 3 = 3

LCM(879,237,821) = ( 879 × 237 × 821 ) / 3

LCM(879,237,821) = 171033183 / 3

LCM(879,237,821) = 57011061


Lets's calculate GCF of 20,82,790

2 20, 82, 790
10, 41, 395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57011061/2

Therefore the LCM of Fractions 879/20,237/82,821/790 is 57011061/2

Greatest Common Factor of 20,82,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,82,790 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 20,82,790 . The biggest common factor number is the GCF number.
So the greatest common factor 20,82,790 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 879/20, 237/82, 821/790

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 879/20, 237/82, 821/790?

Answer: LCM of Numerators as per given numbers 879/20, 237/82, 821/790 is

LCM of Numerators i.e. for 879,237,821 is 57011061

GCF of denominators i.e. for 20,82,790 is 2.

Thus, LCM of Fractions is 57011061/2.Finally, LCM of Fractions for 879/20, 237/82, 821/790 is 57011061/2.