Least Common Multiple of 3/13, 3/52, 57/26, 24/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/13, 3/52, 57/26, 24/312 quickly i.e. 456/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/13, 3/52, 57/26, 24/312 is 456/13.

LCM(3/13, 3/52, 57/26, 24/312) = 456/13

LCM of 3/13, 3/52, 57/26, 24/312

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 3/13,3/52,57/26,24/312

Given numbers are 3/13,3/52,57/26,24/312

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 3,3,57,24

Least Common Multiple of Numerators i.e. LCM of 3,3,57,24 is 456.

GCF of Denominators means GCF of 13,52,26,312 as per the given fractions.

GCF of 13,52,26,312 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,3,57,24

LCM of Fractions 3/13,3/52,57/26,24/312 is 456/13

3 3, 3, 57, 24
1, 1, 19, 8

∴ So the LCM of the given numbers is 3 x 1 x 1 x 19 x 8 = 456

Least Common Multiple of 3,3,57,24 with GCF Formula

Least Common Multiple of 3,3,57,24 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 3,3,57,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,3,57,24) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(3,3,57,24) x common factors =3 x 9 = 27

LCM(3,3,57,24) = ( 3 × 3 × 57 × 24 ) / 27

LCM(3,3,57,24) = 12312 / 27

LCM(3,3,57,24) = 456


Lets's calculate GCF of 13,52,26,312

13 13, 52, 26, 312
1, 4, 2, 24

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456/13

Therefore the LCM of Fractions 3/13,3/52,57/26,24/312 is 456/13

Greatest Common Factor of 13,52,26,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,52,26,312 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 13,52,26,312 . The biggest common factor number is the GCF number.
So the greatest common factor 13,52,26,312 is 13.


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 3/13, 3/52, 57/26, 24/312

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 3/13, 3/52, 57/26, 24/312?

Answer: LCM of Numerators as per given numbers 3/13, 3/52, 57/26, 24/312 is

LCM of Numerators i.e. for 3,3,57,24 is 456

GCF of denominators i.e. for 13,52,26,312 is 13.

Thus, LCM of Fractions is 456/13.Finally, LCM of Fractions for 3/13, 3/52, 57/26, 24/312 is 456/13.