Least Common Multiple of 2172/872, 8731/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2172/872, 8731/854 quickly i.e. 9481866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2172/872, 8731/854 is 9481866.

LCM(2172/872, 8731/854) = 9481866

LCM of 2172/872, 8731/854

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 2172/872,8731/854

Given numbers are 2172/872,8731/854

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 2172,8731

Least Common Multiple of Numerators i.e. LCM of 2172,8731 is 18963732.

GCF of Denominators means GCF of 872,854 as per the given fractions.

GCF of 872,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2172,8731

LCM of Fractions 2172/872,8731/854 is 9481866

Given numbers has no common factors except 1. So, there LCM is their product i.e 18963732

Least Common Multiple of 2172,8731 with GCF Formula

Least Common Multiple of 2172,8731 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 2172,8731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2172,8731) = 1

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

GCF(2172,8731) x common factors =1 x 1 = 1

LCM(2172,8731) = ( 2172 × 8731 ) / 1

LCM(2172,8731) = 18963732 / 1

LCM(2172,8731) = 18963732


Lets's calculate GCF of 872,854

2 872, 854
436, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18963732/2

Therefore the LCM of Fractions 2172/872,8731/854 is 9481866

Greatest Common Factor of 872,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,854 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 872,854 . The biggest common factor number is the GCF number.
So the greatest common factor 872,854 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 2172/872, 8731/854

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 2172/872, 8731/854?

Answer: LCM of Numerators as per given numbers 2172/872, 8731/854 is

LCM of Numerators i.e. for 2172,8731 is 18963732

GCF of denominators i.e. for 872,854 is 2.

Thus, LCM of Fractions is 9481866.Finally, LCM of Fractions for 2172/872, 8731/854 is 9481866.