Least Common Multiple of 972/23, 547/40, 543/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/23, 547/40, 543/891 quickly i.e. 96234804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/23, 547/40, 543/891 is 96234804.

LCM(972/23, 547/40, 543/891) = 96234804

LCM of 972/23, 547/40, 543/891

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 972/23,547/40,543/891

Given numbers are 972/23,547/40,543/891

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 972,547,543

Least Common Multiple of Numerators i.e. LCM of 972,547,543 is 96234804.

GCF of Denominators means GCF of 23,40,891 as per the given fractions.

GCF of 23,40,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,547,543

LCM of Fractions 972/23,547/40,543/891 is 96234804

3 972, 547, 543
324, 547, 181

∴ So the LCM of the given numbers is 3 x 324 x 547 x 181 = 96234804

Least Common Multiple of 972,547,543 with GCF Formula

Least Common Multiple of 972,547,543 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 972,547,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,547,543) = 1

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

GCF(972,547,543) x common factors =1 x 3 = 3

LCM(972,547,543) = ( 972 × 547 × 543 ) / 3

LCM(972,547,543) = 288704412 / 3

LCM(972,547,543) = 96234804


Lets's calculate GCF of 23,40,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96234804/1

Therefore the LCM of Fractions 972/23,547/40,543/891 is 96234804

Greatest Common Factor of 23,40,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,40,891 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 23,40,891 . The biggest common factor number is the GCF number.
So the greatest common factor 23,40,891 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 972/23, 547/40, 543/891

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 972/23, 547/40, 543/891?

Answer: LCM of Numerators as per given numbers 972/23, 547/40, 543/891 is

LCM of Numerators i.e. for 972,547,543 is 96234804

GCF of denominators i.e. for 23,40,891 is 1.

Thus, LCM of Fractions is 96234804.Finally, LCM of Fractions for 972/23, 547/40, 543/891 is 96234804.