Least Common Multiple of 24/55, 21/22, 57/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/55, 21/22, 57/143 quickly i.e. 3192/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/55, 21/22, 57/143 is 3192/11.

LCM(24/55, 21/22, 57/143) = 3192/11

LCM of 24/55, 21/22, 57/143

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 24/55,21/22,57/143

Given numbers are 24/55,21/22,57/143

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 24,21,57

Least Common Multiple of Numerators i.e. LCM of 24,21,57 is 3192.

GCF of Denominators means GCF of 55,22,143 as per the given fractions.

GCF of 55,22,143 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,21,57

LCM of Fractions 24/55,21/22,57/143 is 3192/11

3 24, 21, 57
8, 7, 19

∴ So the LCM of the given numbers is 3 x 8 x 7 x 19 = 3192

Least Common Multiple of 24,21,57 with GCF Formula

Least Common Multiple of 24,21,57 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 24,21,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,21,57) = 3

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

GCF(24,21,57) x common factors =3 x 3 = 9

LCM(24,21,57) = ( 24 × 21 × 57 ) / 9

LCM(24,21,57) = 28728 / 9

LCM(24,21,57) = 3192


Lets's calculate GCF of 55,22,143

11 55, 22, 143
5, 2, 13

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3192/11

Therefore the LCM of Fractions 24/55,21/22,57/143 is 3192/11

Greatest Common Factor of 55,22,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,22,143 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 55,22,143 . The biggest common factor number is the GCF number.
So the greatest common factor 55,22,143 is 11.


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 24/55, 21/22, 57/143

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 24/55, 21/22, 57/143?

Answer: LCM of Numerators as per given numbers 24/55, 21/22, 57/143 is

LCM of Numerators i.e. for 24,21,57 is 3192

GCF of denominators i.e. for 55,22,143 is 11.

Thus, LCM of Fractions is 3192/11.Finally, LCM of Fractions for 24/55, 21/22, 57/143 is 3192/11.