Least Common Multiple of 40/56, 47/71, 64/20, 20/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/56, 47/71, 64/20, 20/317 quickly i.e. 15040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/56, 47/71, 64/20, 20/317 is 15040.

LCM(40/56, 47/71, 64/20, 20/317) = 15040

LCM of 40/56, 47/71, 64/20, 20/317

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 40/56,47/71,64/20,20/317

Given numbers are 40/56,47/71,64/20,20/317

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 40,47,64,20

Least Common Multiple of Numerators i.e. LCM of 40,47,64,20 is 15040.

GCF of Denominators means GCF of 56,71,20,317 as per the given fractions.

GCF of 56,71,20,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,47,64,20

LCM of Fractions 40/56,47/71,64/20,20/317 is 15040

2 40, 47, 64, 20
2 20, 47, 32, 10
2 5, 47, 16, 10
5 5, 47, 8, 5
1, 47, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 47 x 8 x 1 = 15040

Least Common Multiple of 40,47,64,20 with GCF Formula

Least Common Multiple of 40,47,64,20 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 40,47,64,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,47,64,20) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(40,47,64,20) x common factors =1 x 160 = 160

LCM(40,47,64,20) = ( 40 × 47 × 64 × 20 ) / 160

LCM(40,47,64,20) = 2406400 / 160

LCM(40,47,64,20) = 15040


Lets's calculate GCF of 56,71,20,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15040/1

Therefore the LCM of Fractions 40/56,47/71,64/20,20/317 is 15040

Greatest Common Factor of 56,71,20,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,71,20,317 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 71

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

1,71

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 56,71,20,317 . The biggest common factor number is the GCF number.
So the greatest common factor 56,71,20,317 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/56, 47/71, 64/20, 20/317

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 40/56, 47/71, 64/20, 20/317?

Answer: LCM of Numerators as per given numbers 40/56, 47/71, 64/20, 20/317 is

LCM of Numerators i.e. for 40,47,64,20 is 15040

GCF of denominators i.e. for 56,71,20,317 is 1.

Thus, LCM of Fractions is 15040.Finally, LCM of Fractions for 40/56, 47/71, 64/20, 20/317 is 15040.