Least Common Multiple of 24/47, 78/273, 291/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/47, 78/273, 291/877 quickly i.e. 30264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/47, 78/273, 291/877 is 30264.

LCM(24/47, 78/273, 291/877) = 30264

LCM of 24/47, 78/273, 291/877

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 24/47,78/273,291/877

Given numbers are 24/47,78/273,291/877

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 24,78,291

Least Common Multiple of Numerators i.e. LCM of 24,78,291 is 30264.

GCF of Denominators means GCF of 47,273,877 as per the given fractions.

GCF of 47,273,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,78,291

LCM of Fractions 24/47,78/273,291/877 is 30264

2 24, 78, 291
3 12, 39, 291
4, 13, 97

∴ So the LCM of the given numbers is 2 x 3 x 4 x 13 x 97 = 30264

Least Common Multiple of 24,78,291 with GCF Formula

Least Common Multiple of 24,78,291 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 24,78,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,78,291) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(24,78,291) x common factors =3 x 6 = 18

LCM(24,78,291) = ( 24 × 78 × 291 ) / 18

LCM(24,78,291) = 544752 / 18

LCM(24,78,291) = 30264


Lets's calculate GCF of 47,273,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30264/1

Therefore the LCM of Fractions 24/47,78/273,291/877 is 30264

Greatest Common Factor of 47,273,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,273,877 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 47,273,877 . The biggest common factor number is the GCF number.
So the greatest common factor 47,273,877 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 24/47, 78/273, 291/877

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 24/47, 78/273, 291/877?

Answer: LCM of Numerators as per given numbers 24/47, 78/273, 291/877 is

LCM of Numerators i.e. for 24,78,291 is 30264

GCF of denominators i.e. for 47,273,877 is 1.

Thus, LCM of Fractions is 30264.Finally, LCM of Fractions for 24/47, 78/273, 291/877 is 30264.