Least Common Multiple of 567/96, 873/61, 883/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/96, 873/61, 883/878 quickly i.e. 48564117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/96, 873/61, 883/878 is 48564117.

LCM(567/96, 873/61, 883/878) = 48564117

LCM of 567/96, 873/61, 883/878

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 567/96,873/61,883/878

Given numbers are 567/96,873/61,883/878

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 567,873,883

Least Common Multiple of Numerators i.e. LCM of 567,873,883 is 48564117.

GCF of Denominators means GCF of 96,61,878 as per the given fractions.

GCF of 96,61,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,873,883

LCM of Fractions 567/96,873/61,883/878 is 48564117

3 567, 873, 883
3 189, 291, 883
63, 97, 883

∴ So the LCM of the given numbers is 3 x 3 x 63 x 97 x 883 = 48564117

Least Common Multiple of 567,873,883 with GCF Formula

Least Common Multiple of 567,873,883 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 567,873,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,873,883) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(567,873,883) x common factors =1 x 9 = 9

LCM(567,873,883) = ( 567 × 873 × 883 ) / 9

LCM(567,873,883) = 437077053 / 9

LCM(567,873,883) = 48564117


Lets's calculate GCF of 96,61,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48564117/1

Therefore the LCM of Fractions 567/96,873/61,883/878 is 48564117

Greatest Common Factor of 96,61,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,61,878 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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 96,61,878 . The biggest common factor number is the GCF number.
So the greatest common factor 96,61,878 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 567/96, 873/61, 883/878

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 567/96, 873/61, 883/878?

Answer: LCM of Numerators as per given numbers 567/96, 873/61, 883/878 is

LCM of Numerators i.e. for 567,873,883 is 48564117

GCF of denominators i.e. for 96,61,878 is 1.

Thus, LCM of Fractions is 48564117.Finally, LCM of Fractions for 567/96, 873/61, 883/878 is 48564117.