Least Common Multiple of 402/938, 201/929, 791/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 402/938, 201/929, 791/276 quickly i.e. 317982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/938, 201/929, 791/276 is 317982.

LCM(402/938, 201/929, 791/276) = 317982

LCM of 402/938, 201/929, 791/276

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 402/938,201/929,791/276

Given numbers are 402/938,201/929,791/276

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 402,201,791

Least Common Multiple of Numerators i.e. LCM of 402,201,791 is 317982.

GCF of Denominators means GCF of 938,929,276 as per the given fractions.

GCF of 938,929,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,201,791

LCM of Fractions 402/938,201/929,791/276 is 317982

3 402, 201, 791
67 134, 67, 791
2, 1, 791

∴ So the LCM of the given numbers is 3 x 67 x 2 x 1 x 791 = 317982

Least Common Multiple of 402,201,791 with GCF Formula

Least Common Multiple of 402,201,791 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 402,201,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,201,791) = 1

common factors(in case of two or more numbers have common factors) = 201

GCF(402,201,791) x common factors =1 x 201 = 201

LCM(402,201,791) = ( 402 × 201 × 791 ) / 201

LCM(402,201,791) = 63914382 / 201

LCM(402,201,791) = 317982


Lets's calculate GCF of 938,929,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317982/1

Therefore the LCM of Fractions 402/938,201/929,791/276 is 317982

Greatest Common Factor of 938,929,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,929,276 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 938,929,276 . The biggest common factor number is the GCF number.
So the greatest common factor 938,929,276 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 402/938, 201/929, 791/276

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 402/938, 201/929, 791/276?

Answer: LCM of Numerators as per given numbers 402/938, 201/929, 791/276 is

LCM of Numerators i.e. for 402,201,791 is 317982

GCF of denominators i.e. for 938,929,276 is 1.

Thus, LCM of Fractions is 317982.Finally, LCM of Fractions for 402/938, 201/929, 791/276 is 317982.