Least Common Multiple of 982/355, 131/636, 756/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/355, 131/636, 756/825 quickly i.e. 48626676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/355, 131/636, 756/825 is 48626676.

LCM(982/355, 131/636, 756/825) = 48626676

LCM of 982/355, 131/636, 756/825

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 982/355,131/636,756/825

Given numbers are 982/355,131/636,756/825

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 982,131,756

Least Common Multiple of Numerators i.e. LCM of 982,131,756 is 48626676.

GCF of Denominators means GCF of 355,636,825 as per the given fractions.

GCF of 355,636,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,131,756

LCM of Fractions 982/355,131/636,756/825 is 48626676

2 982, 131, 756
491, 131, 378

∴ So the LCM of the given numbers is 2 x 491 x 131 x 378 = 48626676

Least Common Multiple of 982,131,756 with GCF Formula

Least Common Multiple of 982,131,756 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 982,131,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,131,756) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(982,131,756) x common factors =1 x 2 = 2

LCM(982,131,756) = ( 982 × 131 × 756 ) / 2

LCM(982,131,756) = 97253352 / 2

LCM(982,131,756) = 48626676


Lets's calculate GCF of 355,636,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48626676/1

Therefore the LCM of Fractions 982/355,131/636,756/825 is 48626676

Greatest Common Factor of 355,636,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,636,825 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 355,636,825 . The biggest common factor number is the GCF number.
So the greatest common factor 355,636,825 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 982/355, 131/636, 756/825

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 982/355, 131/636, 756/825?

Answer: LCM of Numerators as per given numbers 982/355, 131/636, 756/825 is

LCM of Numerators i.e. for 982,131,756 is 48626676

GCF of denominators i.e. for 355,636,825 is 1.

Thus, LCM of Fractions is 48626676.Finally, LCM of Fractions for 982/355, 131/636, 756/825 is 48626676.