Least Common Multiple of 131/422, 915/628, 931/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/422, 915/628, 931/878 quickly i.e. 111594315/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/422, 915/628, 931/878 is 111594315/2.

LCM(131/422, 915/628, 931/878) = 111594315/2

LCM of 131/422, 915/628, 931/878

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 131/422,915/628,931/878

Given numbers are 131/422,915/628,931/878

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 131,915,931

Least Common Multiple of Numerators i.e. LCM of 131,915,931 is 111594315.

GCF of Denominators means GCF of 422,628,878 as per the given fractions.

GCF of 422,628,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,915,931

LCM of Fractions 131/422,915/628,931/878 is 111594315/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 111594315

Least Common Multiple of 131,915,931 with GCF Formula

Least Common Multiple of 131,915,931 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 131,915,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,915,931) = 1

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

GCF(131,915,931) x common factors =1 x 1 = 1

LCM(131,915,931) = ( 131 × 915 × 931 ) / 1

LCM(131,915,931) = 111594315 / 1

LCM(131,915,931) = 111594315


Lets's calculate GCF of 422,628,878

2 422, 628, 878
211, 314, 439

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111594315/2

Therefore the LCM of Fractions 131/422,915/628,931/878 is 111594315/2

Greatest Common Factor of 422,628,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,628,878 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 422,628,878 . The biggest common factor number is the GCF number.
So the greatest common factor 422,628,878 is 2.


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 131/422, 915/628, 931/878

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 131/422, 915/628, 931/878?

Answer: LCM of Numerators as per given numbers 131/422, 915/628, 931/878 is

LCM of Numerators i.e. for 131,915,931 is 111594315

GCF of denominators i.e. for 422,628,878 is 2.

Thus, LCM of Fractions is 111594315/2.Finally, LCM of Fractions for 131/422, 915/628, 931/878 is 111594315/2.