Least Common Multiple of 83/644, 81/195, 756/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/644, 81/195, 756/121 quickly i.e. 188244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/644, 81/195, 756/121 is 188244.

LCM(83/644, 81/195, 756/121) = 188244

LCM of 83/644, 81/195, 756/121

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 83/644,81/195,756/121

Given numbers are 83/644,81/195,756/121

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 83,81,756

Least Common Multiple of Numerators i.e. LCM of 83,81,756 is 188244.

GCF of Denominators means GCF of 644,195,121 as per the given fractions.

GCF of 644,195,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,81,756

LCM of Fractions 83/644,81/195,756/121 is 188244

3 83, 81, 756
3 83, 27, 252
3 83, 9, 84
83, 3, 28

∴ So the LCM of the given numbers is 3 x 3 x 3 x 83 x 3 x 28 = 188244

Least Common Multiple of 83,81,756 with GCF Formula

Least Common Multiple of 83,81,756 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 83,81,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,81,756) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(83,81,756) x common factors =1 x 27 = 27

LCM(83,81,756) = ( 83 × 81 × 756 ) / 27

LCM(83,81,756) = 5082588 / 27

LCM(83,81,756) = 188244


Lets's calculate GCF of 644,195,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188244/1

Therefore the LCM of Fractions 83/644,81/195,756/121 is 188244

Greatest Common Factor of 644,195,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,195,121 By Matching Biggest Common Factor Method

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

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 644,195,121 . The biggest common factor number is the GCF number.
So the greatest common factor 644,195,121 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 83/644, 81/195, 756/121

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 83/644, 81/195, 756/121?

Answer: LCM of Numerators as per given numbers 83/644, 81/195, 756/121 is

LCM of Numerators i.e. for 83,81,756 is 188244

GCF of denominators i.e. for 644,195,121 is 1.

Thus, LCM of Fractions is 188244.Finally, LCM of Fractions for 83/644, 81/195, 756/121 is 188244.