Least Common Multiple of 1/180, 20/656, 39/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/180, 20/656, 39/644 quickly i.e. 195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/180, 20/656, 39/644 is 195.

LCM(1/180, 20/656, 39/644) = 195

LCM of 1/180, 20/656, 39/644

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 1/180,20/656,39/644

Given numbers are 1/180,20/656,39/644

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 1,20,39

Least Common Multiple of Numerators i.e. LCM of 1,20,39 is 780.

GCF of Denominators means GCF of 180,656,644 as per the given fractions.

GCF of 180,656,644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,20,39

LCM of Fractions 1/180,20/656,39/644 is 195

Given numbers has no common factors except 1. So, there LCM is their product i.e 780

Least Common Multiple of 1,20,39 with GCF Formula

Least Common Multiple of 1,20,39 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 1,20,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,20,39) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,20,39) x common factors =1 x 1 = 1

LCM(1,20,39) = ( 1 × 20 × 39 ) / 1

LCM(1,20,39) = 780 / 1

LCM(1,20,39) = 780


Lets's calculate GCF of 180,656,644

2 180, 656, 644
2 90, 328, 322
45, 164, 161

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 780/4

Therefore the LCM of Fractions 1/180,20/656,39/644 is 195

Greatest Common Factor of 180,656,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,656,644 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 180,656,644 . The biggest common factor number is the GCF number.
So the greatest common factor 180,656,644 is 4.


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 1/180, 20/656, 39/644

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 1/180, 20/656, 39/644?

Answer: LCM of Numerators as per given numbers 1/180, 20/656, 39/644 is

LCM of Numerators i.e. for 1,20,39 is 780

GCF of denominators i.e. for 180,656,644 is 4.

Thus, LCM of Fractions is 195.Finally, LCM of Fractions for 1/180, 20/656, 39/644 is 195.