Least Common Multiple of 933/78, 336/54, 874/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 933/78, 336/54, 874/724 quickly i.e. 22832376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/78, 336/54, 874/724 is 22832376.

LCM(933/78, 336/54, 874/724) = 22832376

LCM of 933/78, 336/54, 874/724

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 933/78,336/54,874/724

Given numbers are 933/78,336/54,874/724

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 933,336,874

Least Common Multiple of Numerators i.e. LCM of 933,336,874 is 45664752.

GCF of Denominators means GCF of 78,54,724 as per the given fractions.

GCF of 78,54,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,336,874

LCM of Fractions 933/78,336/54,874/724 is 22832376

2 933, 336, 874
3 933, 168, 437
311, 56, 437

∴ So the LCM of the given numbers is 2 x 3 x 311 x 56 x 437 = 45664752

Least Common Multiple of 933,336,874 with GCF Formula

Least Common Multiple of 933,336,874 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 933,336,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,336,874) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(933,336,874) x common factors =1 x 6 = 6

LCM(933,336,874) = ( 933 × 336 × 874 ) / 6

LCM(933,336,874) = 273988512 / 6

LCM(933,336,874) = 45664752


Lets's calculate GCF of 78,54,724

2 78, 54, 724
39, 27, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45664752/2

Therefore the LCM of Fractions 933/78,336/54,874/724 is 22832376

Greatest Common Factor of 78,54,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,54,724 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 78,54,724 . The biggest common factor number is the GCF number.
So the greatest common factor 78,54,724 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 933/78, 336/54, 874/724

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 933/78, 336/54, 874/724?

Answer: LCM of Numerators as per given numbers 933/78, 336/54, 874/724 is

LCM of Numerators i.e. for 933,336,874 is 45664752

GCF of denominators i.e. for 78,54,724 is 2.

Thus, LCM of Fractions is 22832376.Finally, LCM of Fractions for 933/78, 336/54, 874/724 is 22832376.