Least Common Multiple of 878/76, 226/96, 567/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/76, 226/96, 567/333 quickly i.e. 56254338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/76, 226/96, 567/333 is 56254338.

LCM(878/76, 226/96, 567/333) = 56254338

LCM of 878/76, 226/96, 567/333

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 878/76,226/96,567/333

Given numbers are 878/76,226/96,567/333

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 878,226,567

Least Common Multiple of Numerators i.e. LCM of 878,226,567 is 56254338.

GCF of Denominators means GCF of 76,96,333 as per the given fractions.

GCF of 76,96,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,226,567

LCM of Fractions 878/76,226/96,567/333 is 56254338

2 878, 226, 567
439, 113, 567

∴ So the LCM of the given numbers is 2 x 439 x 113 x 567 = 56254338

Least Common Multiple of 878,226,567 with GCF Formula

Least Common Multiple of 878,226,567 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 878,226,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,226,567) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(878,226,567) x common factors =1 x 2 = 2

LCM(878,226,567) = ( 878 × 226 × 567 ) / 2

LCM(878,226,567) = 112508676 / 2

LCM(878,226,567) = 56254338


Lets's calculate GCF of 76,96,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56254338/1

Therefore the LCM of Fractions 878/76,226/96,567/333 is 56254338

Greatest Common Factor of 76,96,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,96,333 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 76,96,333 . The biggest common factor number is the GCF number.
So the greatest common factor 76,96,333 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 878/76, 226/96, 567/333

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 878/76, 226/96, 567/333?

Answer: LCM of Numerators as per given numbers 878/76, 226/96, 567/333 is

LCM of Numerators i.e. for 878,226,567 is 56254338

GCF of denominators i.e. for 76,96,333 is 1.

Thus, LCM of Fractions is 56254338.Finally, LCM of Fractions for 878/76, 226/96, 567/333 is 56254338.