Least Common Multiple of 12/15, 39/20, 60/78, 27/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/15, 39/20, 60/78, 27/125 quickly i.e. 7020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/15, 39/20, 60/78, 27/125 is 7020.

LCM(12/15, 39/20, 60/78, 27/125) = 7020

LCM of 12/15, 39/20, 60/78, 27/125

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 12/15,39/20,60/78,27/125

Given numbers are 12/15,39/20,60/78,27/125

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 12,39,60,27

Least Common Multiple of Numerators i.e. LCM of 12,39,60,27 is 7020.

GCF of Denominators means GCF of 15,20,78,125 as per the given fractions.

GCF of 15,20,78,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,39,60,27

LCM of Fractions 12/15,39/20,60/78,27/125 is 7020

2 12, 39, 60, 27
2 6, 39, 30, 27
3 3, 39, 15, 27
1, 13, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 13 x 5 x 9 = 7020

Least Common Multiple of 12,39,60,27 with GCF Formula

Least Common Multiple of 12,39,60,27 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 12,39,60,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,39,60,27) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(12,39,60,27) x common factors =3 x 36 = 108

LCM(12,39,60,27) = ( 12 × 39 × 60 × 27 ) / 108

LCM(12,39,60,27) = 758160 / 108

LCM(12,39,60,27) = 7020


Lets's calculate GCF of 15,20,78,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7020/1

Therefore the LCM of Fractions 12/15,39/20,60/78,27/125 is 7020

Greatest Common Factor of 15,20,78,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,20,78,125 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 20

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

1,2,4,5,10,20

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 15,20,78,125 . The biggest common factor number is the GCF number.
So the greatest common factor 15,20,78,125 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 12/15, 39/20, 60/78, 27/125

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 12/15, 39/20, 60/78, 27/125?

Answer: LCM of Numerators as per given numbers 12/15, 39/20, 60/78, 27/125 is

LCM of Numerators i.e. for 12,39,60,27 is 7020

GCF of denominators i.e. for 15,20,78,125 is 1.

Thus, LCM of Fractions is 7020.Finally, LCM of Fractions for 12/15, 39/20, 60/78, 27/125 is 7020.