Least Common Multiple of 37/972, 5660/1161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/972, 5660/1161 quickly i.e. 209420/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/972, 5660/1161 is 209420/27.

LCM(37/972, 5660/1161) = 209420/27

LCM of 37/972, 5660/1161

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 37/972,5660/1161

Given numbers are 37/972,5660/1161

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 37,5660

Least Common Multiple of Numerators i.e. LCM of 37,5660 is 209420.

GCF of Denominators means GCF of 972,1161 as per the given fractions.

GCF of 972,1161 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,5660

LCM of Fractions 37/972,5660/1161 is 209420/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 209420

Least Common Multiple of 37,5660 with GCF Formula

Least Common Multiple of 37,5660 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 37,5660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,5660) = 1

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

GCF(37,5660) x common factors =1 x 1 = 1

LCM(37,5660) = ( 37 × 5660 ) / 1

LCM(37,5660) = 209420 / 1

LCM(37,5660) = 209420


Lets's calculate GCF of 972,1161

3 972, 1161
3 324, 387
3 108, 129
36, 43

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209420/27

Therefore the LCM of Fractions 37/972,5660/1161 is 209420/27

Greatest Common Factor of 972,1161 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,1161 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 1161

List of positive integer factors of 1161 that divides 1161 without a remainder.

1,3,9,27,43,129,387,1161

Greatest Common Factor

We found the factors 972,1161 . The biggest common factor number is the GCF number.
So the greatest common factor 972,1161 is 27.


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 37/972, 5660/1161

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 37/972, 5660/1161?

Answer: LCM of Numerators as per given numbers 37/972, 5660/1161 is

LCM of Numerators i.e. for 37,5660 is 209420

GCF of denominators i.e. for 972,1161 is 27.

Thus, LCM of Fractions is 209420/27.Finally, LCM of Fractions for 37/972, 5660/1161 is 209420/27.