Least Common Multiple of 24/823, 22/544, 772/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/823, 22/544, 772/760 quickly i.e. 50952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/823, 22/544, 772/760 is 50952.

LCM(24/823, 22/544, 772/760) = 50952

LCM of 24/823, 22/544, 772/760

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 24/823,22/544,772/760

Given numbers are 24/823,22/544,772/760

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 24,22,772

Least Common Multiple of Numerators i.e. LCM of 24,22,772 is 50952.

GCF of Denominators means GCF of 823,544,760 as per the given fractions.

GCF of 823,544,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,22,772

LCM of Fractions 24/823,22/544,772/760 is 50952

2 24, 22, 772
2 12, 11, 386
6, 11, 193

∴ So the LCM of the given numbers is 2 x 2 x 6 x 11 x 193 = 50952

Least Common Multiple of 24,22,772 with GCF Formula

Least Common Multiple of 24,22,772 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 24,22,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,22,772) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(24,22,772) x common factors =2 x 4 = 8

LCM(24,22,772) = ( 24 × 22 × 772 ) / 8

LCM(24,22,772) = 407616 / 8

LCM(24,22,772) = 50952


Lets's calculate GCF of 823,544,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50952/1

Therefore the LCM of Fractions 24/823,22/544,772/760 is 50952

Greatest Common Factor of 823,544,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,544,760 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 823,544,760 . The biggest common factor number is the GCF number.
So the greatest common factor 823,544,760 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 24/823, 22/544, 772/760

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 24/823, 22/544, 772/760?

Answer: LCM of Numerators as per given numbers 24/823, 22/544, 772/760 is

LCM of Numerators i.e. for 24,22,772 is 50952

GCF of denominators i.e. for 823,544,760 is 1.

Thus, LCM of Fractions is 50952.Finally, LCM of Fractions for 24/823, 22/544, 772/760 is 50952.