Least Common Multiple of 59/108, 795/331, 983/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/108, 795/331, 983/492 quickly i.e. 46107615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/108, 795/331, 983/492 is 46107615.

LCM(59/108, 795/331, 983/492) = 46107615

LCM of 59/108, 795/331, 983/492

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 59/108,795/331,983/492

Given numbers are 59/108,795/331,983/492

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 59,795,983

Least Common Multiple of Numerators i.e. LCM of 59,795,983 is 46107615.

GCF of Denominators means GCF of 108,331,492 as per the given fractions.

GCF of 108,331,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,795,983

LCM of Fractions 59/108,795/331,983/492 is 46107615

Given numbers has no common factors except 1. So, there LCM is their product i.e 46107615

Least Common Multiple of 59,795,983 with GCF Formula

Least Common Multiple of 59,795,983 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 59,795,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,795,983) = 1

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

GCF(59,795,983) x common factors =1 x 1 = 1

LCM(59,795,983) = ( 59 × 795 × 983 ) / 1

LCM(59,795,983) = 46107615 / 1

LCM(59,795,983) = 46107615


Lets's calculate GCF of 108,331,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46107615/1

Therefore the LCM of Fractions 59/108,795/331,983/492 is 46107615

Greatest Common Factor of 108,331,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,331,492 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 108,331,492 . The biggest common factor number is the GCF number.
So the greatest common factor 108,331,492 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/108, 795/331, 983/492

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 59/108, 795/331, 983/492?

Answer: LCM of Numerators as per given numbers 59/108, 795/331, 983/492 is

LCM of Numerators i.e. for 59,795,983 is 46107615

GCF of denominators i.e. for 108,331,492 is 1.

Thus, LCM of Fractions is 46107615.Finally, LCM of Fractions for 59/108, 795/331, 983/492 is 46107615.