Least Common Multiple of 72/90, 956/91, 746/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/90, 956/91, 746/525 quickly i.e. 6418584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/90, 956/91, 746/525 is 6418584.

LCM(72/90, 956/91, 746/525) = 6418584

LCM of 72/90, 956/91, 746/525

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 72/90,956/91,746/525

Given numbers are 72/90,956/91,746/525

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 72,956,746

Least Common Multiple of Numerators i.e. LCM of 72,956,746 is 6418584.

GCF of Denominators means GCF of 90,91,525 as per the given fractions.

GCF of 90,91,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,956,746

LCM of Fractions 72/90,956/91,746/525 is 6418584

2 72, 956, 746
2 36, 478, 373
18, 239, 373

∴ So the LCM of the given numbers is 2 x 2 x 18 x 239 x 373 = 6418584

Least Common Multiple of 72,956,746 with GCF Formula

Least Common Multiple of 72,956,746 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 72,956,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,956,746) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(72,956,746) x common factors =2 x 4 = 8

LCM(72,956,746) = ( 72 × 956 × 746 ) / 8

LCM(72,956,746) = 51348672 / 8

LCM(72,956,746) = 6418584


Lets's calculate GCF of 90,91,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6418584/1

Therefore the LCM of Fractions 72/90,956/91,746/525 is 6418584

Greatest Common Factor of 90,91,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,91,525 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 90,91,525 . The biggest common factor number is the GCF number.
So the greatest common factor 90,91,525 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 72/90, 956/91, 746/525

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 72/90, 956/91, 746/525?

Answer: LCM of Numerators as per given numbers 72/90, 956/91, 746/525 is

LCM of Numerators i.e. for 72,956,746 is 6418584

GCF of denominators i.e. for 90,91,525 is 1.

Thus, LCM of Fractions is 6418584.Finally, LCM of Fractions for 72/90, 956/91, 746/525 is 6418584.