Least Common Multiple of 872/863, 636/861, 344/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/863, 636/861, 344/902 quickly i.e. 5961864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/863, 636/861, 344/902 is 5961864.

LCM(872/863, 636/861, 344/902) = 5961864

LCM of 872/863, 636/861, 344/902

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 872/863,636/861,344/902

Given numbers are 872/863,636/861,344/902

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 872,636,344

Least Common Multiple of Numerators i.e. LCM of 872,636,344 is 5961864.

GCF of Denominators means GCF of 863,861,902 as per the given fractions.

GCF of 863,861,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,636,344

LCM of Fractions 872/863,636/861,344/902 is 5961864

2 872, 636, 344
2 436, 318, 172
2 218, 159, 86
109, 159, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 159 x 43 = 5961864

Least Common Multiple of 872,636,344 with GCF Formula

Least Common Multiple of 872,636,344 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 872,636,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,636,344) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(872,636,344) x common factors =4 x 8 = 32

LCM(872,636,344) = ( 872 × 636 × 344 ) / 32

LCM(872,636,344) = 190779648 / 32

LCM(872,636,344) = 5961864


Lets's calculate GCF of 863,861,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5961864/1

Therefore the LCM of Fractions 872/863,636/861,344/902 is 5961864

Greatest Common Factor of 863,861,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,861,902 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 863,861,902 . The biggest common factor number is the GCF number.
So the greatest common factor 863,861,902 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 872/863, 636/861, 344/902

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 872/863, 636/861, 344/902?

Answer: LCM of Numerators as per given numbers 872/863, 636/861, 344/902 is

LCM of Numerators i.e. for 872,636,344 is 5961864

GCF of denominators i.e. for 863,861,902 is 1.

Thus, LCM of Fractions is 5961864.Finally, LCM of Fractions for 872/863, 636/861, 344/902 is 5961864.