Least Common Multiple of 90/492, 724/724, 756/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/492, 724/724, 756/932 quickly i.e. 171045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/492, 724/724, 756/932 is 171045.

LCM(90/492, 724/724, 756/932) = 171045

LCM of 90/492, 724/724, 756/932

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 90/492,724/724,756/932

Given numbers are 90/492,724/724,756/932

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 90,724,756

Least Common Multiple of Numerators i.e. LCM of 90,724,756 is 684180.

GCF of Denominators means GCF of 492,724,932 as per the given fractions.

GCF of 492,724,932 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,724,756

LCM of Fractions 90/492,724/724,756/932 is 171045

2 90, 724, 756
2 45, 362, 378
3 45, 181, 189
3 15, 181, 63
5, 181, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 181 x 21 = 684180

Least Common Multiple of 90,724,756 with GCF Formula

Least Common Multiple of 90,724,756 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 90,724,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,724,756) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(90,724,756) x common factors =2 x 36 = 72

LCM(90,724,756) = ( 90 × 724 × 756 ) / 72

LCM(90,724,756) = 49260960 / 72

LCM(90,724,756) = 684180


Lets's calculate GCF of 492,724,932

2 492, 724, 932
2 246, 362, 466
123, 181, 233

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684180/4

Therefore the LCM of Fractions 90/492,724/724,756/932 is 171045

Greatest Common Factor of 492,724,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,724,932 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 724

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

1,2,4,181,362,724

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 492,724,932 . The biggest common factor number is the GCF number.
So the greatest common factor 492,724,932 is 4.


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 90/492, 724/724, 756/932

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 90/492, 724/724, 756/932?

Answer: LCM of Numerators as per given numbers 90/492, 724/724, 756/932 is

LCM of Numerators i.e. for 90,724,756 is 684180

GCF of denominators i.e. for 492,724,932 is 4.

Thus, LCM of Fractions is 171045.Finally, LCM of Fractions for 90/492, 724/724, 756/932 is 171045.