Least Common Multiple of 78/57, 250/13, 204/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/57, 250/13, 204/983 quickly i.e. 331500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/57, 250/13, 204/983 is 331500.

LCM(78/57, 250/13, 204/983) = 331500

LCM of 78/57, 250/13, 204/983

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 78/57,250/13,204/983

Given numbers are 78/57,250/13,204/983

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 78,250,204

Least Common Multiple of Numerators i.e. LCM of 78,250,204 is 331500.

GCF of Denominators means GCF of 57,13,983 as per the given fractions.

GCF of 57,13,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,250,204

LCM of Fractions 78/57,250/13,204/983 is 331500

2 78, 250, 204
3 39, 125, 102
13, 125, 34

∴ So the LCM of the given numbers is 2 x 3 x 13 x 125 x 34 = 331500

Least Common Multiple of 78,250,204 with GCF Formula

Least Common Multiple of 78,250,204 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 78,250,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,250,204) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,250,204) x common factors =2 x 6 = 12

LCM(78,250,204) = ( 78 × 250 × 204 ) / 12

LCM(78,250,204) = 3978000 / 12

LCM(78,250,204) = 331500


Lets's calculate GCF of 57,13,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331500/1

Therefore the LCM of Fractions 78/57,250/13,204/983 is 331500

Greatest Common Factor of 57,13,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,13,983 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 57,13,983 . The biggest common factor number is the GCF number.
So the greatest common factor 57,13,983 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 78/57, 250/13, 204/983

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 78/57, 250/13, 204/983?

Answer: LCM of Numerators as per given numbers 78/57, 250/13, 204/983 is

LCM of Numerators i.e. for 78,250,204 is 331500

GCF of denominators i.e. for 57,13,983 is 1.

Thus, LCM of Fractions is 331500.Finally, LCM of Fractions for 78/57, 250/13, 204/983 is 331500.