Least Common Multiple of 20/60, 51/44, 39/50, 715/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/60, 51/44, 39/50, 715/56 quickly i.e. 72930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/60, 51/44, 39/50, 715/56 is 72930.

LCM(20/60, 51/44, 39/50, 715/56) = 72930

LCM of 20/60, 51/44, 39/50, 715/56

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 20/60,51/44,39/50,715/56

Given numbers are 20/60,51/44,39/50,715/56

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 20,51,39,715

Least Common Multiple of Numerators i.e. LCM of 20,51,39,715 is 145860.

GCF of Denominators means GCF of 60,44,50,56 as per the given fractions.

GCF of 60,44,50,56 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,51,39,715

LCM of Fractions 20/60,51/44,39/50,715/56 is 72930

3 20, 51, 39, 715
5 20, 17, 13, 715
13 4, 17, 13, 143
4, 17, 1, 11

∴ So the LCM of the given numbers is 3 x 5 x 13 x 4 x 17 x 1 x 11 = 145860

Least Common Multiple of 20,51,39,715 with GCF Formula

Least Common Multiple of 20,51,39,715 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 20,51,39,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,51,39,715) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(20,51,39,715) x common factors =1 x 195 = 195

LCM(20,51,39,715) = ( 20 × 51 × 39 × 715 ) / 195

LCM(20,51,39,715) = 28442700 / 195

LCM(20,51,39,715) = 145860


Lets's calculate GCF of 60,44,50,56

2 60, 44, 50, 56
30, 22, 25, 28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145860/2

Therefore the LCM of Fractions 20/60,51/44,39/50,715/56 is 72930

Greatest Common Factor of 60,44,50,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,44,50,56 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 56

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

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

Greatest Common Factor

We found the factors 60,44,50,56 . The biggest common factor number is the GCF number.
So the greatest common factor 60,44,50,56 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 20/60, 51/44, 39/50, 715/56

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 20/60, 51/44, 39/50, 715/56?

Answer: LCM of Numerators as per given numbers 20/60, 51/44, 39/50, 715/56 is

LCM of Numerators i.e. for 20,51,39,715 is 145860

GCF of denominators i.e. for 60,44,50,56 is 2.

Thus, LCM of Fractions is 72930.Finally, LCM of Fractions for 20/60, 51/44, 39/50, 715/56 is 72930.