Least Common Multiple of 302/251, 780/813, 132/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/251, 780/813, 132/878 quickly i.e. 1295580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/251, 780/813, 132/878 is 1295580.

LCM(302/251, 780/813, 132/878) = 1295580

LCM of 302/251, 780/813, 132/878

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 302/251,780/813,132/878

Given numbers are 302/251,780/813,132/878

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 302,780,132

Least Common Multiple of Numerators i.e. LCM of 302,780,132 is 1295580.

GCF of Denominators means GCF of 251,813,878 as per the given fractions.

GCF of 251,813,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,780,132

LCM of Fractions 302/251,780/813,132/878 is 1295580

2 302, 780, 132
2 151, 390, 66
3 151, 195, 33
151, 65, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 151 x 65 x 11 = 1295580

Least Common Multiple of 302,780,132 with GCF Formula

Least Common Multiple of 302,780,132 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 302,780,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,780,132) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(302,780,132) x common factors =2 x 12 = 24

LCM(302,780,132) = ( 302 × 780 × 132 ) / 24

LCM(302,780,132) = 31093920 / 24

LCM(302,780,132) = 1295580


Lets's calculate GCF of 251,813,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1295580/1

Therefore the LCM of Fractions 302/251,780/813,132/878 is 1295580

Greatest Common Factor of 251,813,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,813,878 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

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 251,813,878 . The biggest common factor number is the GCF number.
So the greatest common factor 251,813,878 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 302/251, 780/813, 132/878

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 302/251, 780/813, 132/878?

Answer: LCM of Numerators as per given numbers 302/251, 780/813, 132/878 is

LCM of Numerators i.e. for 302,780,132 is 1295580

GCF of denominators i.e. for 251,813,878 is 1.

Thus, LCM of Fractions is 1295580.Finally, LCM of Fractions for 302/251, 780/813, 132/878 is 1295580.