Least Common Multiple of 24/71, 52/48, 54/29, 24/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/71, 52/48, 54/29, 24/713 quickly i.e. 2808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/71, 52/48, 54/29, 24/713 is 2808.

LCM(24/71, 52/48, 54/29, 24/713) = 2808

LCM of 24/71, 52/48, 54/29, 24/713

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 24/71,52/48,54/29,24/713

Given numbers are 24/71,52/48,54/29,24/713

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 24,52,54,24

Least Common Multiple of Numerators i.e. LCM of 24,52,54,24 is 2808.

GCF of Denominators means GCF of 71,48,29,713 as per the given fractions.

GCF of 71,48,29,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,52,54,24

LCM of Fractions 24/71,52/48,54/29,24/713 is 2808

2 24, 52, 54, 24
2 12, 26, 27, 12
2 6, 13, 27, 6
3 3, 13, 27, 3
1, 13, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 13 x 9 x 1 = 2808

Least Common Multiple of 24,52,54,24 with GCF Formula

Least Common Multiple of 24,52,54,24 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 24,52,54,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,52,54,24) = 2

common factors(in case of two or more numbers have common factors) = 288

GCF(24,52,54,24) x common factors =2 x 288 = 576

LCM(24,52,54,24) = ( 24 × 52 × 54 × 24 ) / 576

LCM(24,52,54,24) = 1617408 / 576

LCM(24,52,54,24) = 2808


Lets's calculate GCF of 71,48,29,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2808/1

Therefore the LCM of Fractions 24/71,52/48,54/29,24/713 is 2808

Greatest Common Factor of 71,48,29,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,48,29,713 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 71,48,29,713 . The biggest common factor number is the GCF number.
So the greatest common factor 71,48,29,713 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 24/71, 52/48, 54/29, 24/713

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 24/71, 52/48, 54/29, 24/713?

Answer: LCM of Numerators as per given numbers 24/71, 52/48, 54/29, 24/713 is

LCM of Numerators i.e. for 24,52,54,24 is 2808

GCF of denominators i.e. for 71,48,29,713 is 1.

Thus, LCM of Fractions is 2808.Finally, LCM of Fractions for 24/71, 52/48, 54/29, 24/713 is 2808.