Least Common Multiple of 13/42, 32/82, 11/72, 56/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/42, 32/82, 11/72, 56/124 quickly i.e. 16016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/42, 32/82, 11/72, 56/124 is 16016.

LCM(13/42, 32/82, 11/72, 56/124) = 16016

LCM of 13/42, 32/82, 11/72, 56/124

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 13/42,32/82,11/72,56/124

Given numbers are 13/42,32/82,11/72,56/124

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 13,32,11,56

Least Common Multiple of Numerators i.e. LCM of 13,32,11,56 is 32032.

GCF of Denominators means GCF of 42,82,72,124 as per the given fractions.

GCF of 42,82,72,124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,32,11,56

LCM of Fractions 13/42,32/82,11/72,56/124 is 16016

2 13, 32, 11, 56
2 13, 16, 11, 28
2 13, 8, 11, 14
13, 4, 11, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 4 x 11 x 7 = 32032

Least Common Multiple of 13,32,11,56 with GCF Formula

Least Common Multiple of 13,32,11,56 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 13,32,11,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,32,11,56) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(13,32,11,56) x common factors =1 x 8 = 8

LCM(13,32,11,56) = ( 13 × 32 × 11 × 56 ) / 8

LCM(13,32,11,56) = 256256 / 8

LCM(13,32,11,56) = 32032


Lets's calculate GCF of 42,82,72,124

2 42, 82, 72, 124
21, 41, 36, 62

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32032/2

Therefore the LCM of Fractions 13/42,32/82,11/72,56/124 is 16016

Greatest Common Factor of 42,82,72,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,82,72,124 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 42,82,72,124 . The biggest common factor number is the GCF number.
So the greatest common factor 42,82,72,124 is 2.


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 13/42, 32/82, 11/72, 56/124

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 13/42, 32/82, 11/72, 56/124?

Answer: LCM of Numerators as per given numbers 13/42, 32/82, 11/72, 56/124 is

LCM of Numerators i.e. for 13,32,11,56 is 32032

GCF of denominators i.e. for 42,82,72,124 is 2.

Thus, LCM of Fractions is 16016.Finally, LCM of Fractions for 13/42, 32/82, 11/72, 56/124 is 16016.