Least Common Multiple of 64/48, 32/43, 20/31, 57/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/48, 32/43, 20/31, 57/813 quickly i.e. 18240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/48, 32/43, 20/31, 57/813 is 18240.

LCM(64/48, 32/43, 20/31, 57/813) = 18240

LCM of 64/48, 32/43, 20/31, 57/813

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 64/48,32/43,20/31,57/813

Given numbers are 64/48,32/43,20/31,57/813

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 64,32,20,57

Least Common Multiple of Numerators i.e. LCM of 64,32,20,57 is 18240.

GCF of Denominators means GCF of 48,43,31,813 as per the given fractions.

GCF of 48,43,31,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,32,20,57

LCM of Fractions 64/48,32/43,20/31,57/813 is 18240

2 64, 32, 20, 57
2 32, 16, 10, 57
2 8, 16, 5, 57
2 4, 8, 5, 57
2 2, 4, 5, 57
1, 2, 5, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 2 x 5 x 57 = 18240

Least Common Multiple of 64,32,20,57 with GCF Formula

Least Common Multiple of 64,32,20,57 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 64,32,20,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,32,20,57) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(64,32,20,57) x common factors =1 x 128 = 128

LCM(64,32,20,57) = ( 64 × 32 × 20 × 57 ) / 128

LCM(64,32,20,57) = 2334720 / 128

LCM(64,32,20,57) = 18240


Lets's calculate GCF of 48,43,31,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18240/1

Therefore the LCM of Fractions 64/48,32/43,20/31,57/813 is 18240

Greatest Common Factor of 48,43,31,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,43,31,813 By Matching Biggest Common Factor Method

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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 48,43,31,813 . The biggest common factor number is the GCF number.
So the greatest common factor 48,43,31,813 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 64/48, 32/43, 20/31, 57/813

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 64/48, 32/43, 20/31, 57/813?

Answer: LCM of Numerators as per given numbers 64/48, 32/43, 20/31, 57/813 is

LCM of Numerators i.e. for 64,32,20,57 is 18240

GCF of denominators i.e. for 48,43,31,813 is 1.

Thus, LCM of Fractions is 18240.Finally, LCM of Fractions for 64/48, 32/43, 20/31, 57/813 is 18240.