Least Common Multiple of 72/738, 96/285, 909/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/738, 96/285, 909/956 quickly i.e. 29088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/738, 96/285, 909/956 is 29088.

LCM(72/738, 96/285, 909/956) = 29088

LCM of 72/738, 96/285, 909/956

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 72/738,96/285,909/956

Given numbers are 72/738,96/285,909/956

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 72,96,909

Least Common Multiple of Numerators i.e. LCM of 72,96,909 is 29088.

GCF of Denominators means GCF of 738,285,956 as per the given fractions.

GCF of 738,285,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,96,909

LCM of Fractions 72/738,96/285,909/956 is 29088

2 72, 96, 909
2 36, 48, 909
2 18, 24, 909
3 9, 12, 909
3 3, 4, 303
1, 4, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 4 x 101 = 29088

Least Common Multiple of 72,96,909 with GCF Formula

Least Common Multiple of 72,96,909 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 72,96,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,96,909) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(72,96,909) x common factors =3 x 72 = 216

LCM(72,96,909) = ( 72 × 96 × 909 ) / 216

LCM(72,96,909) = 6283008 / 216

LCM(72,96,909) = 29088


Lets's calculate GCF of 738,285,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29088/1

Therefore the LCM of Fractions 72/738,96/285,909/956 is 29088

Greatest Common Factor of 738,285,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,285,956 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 738,285,956 . The biggest common factor number is the GCF number.
So the greatest common factor 738,285,956 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 72/738, 96/285, 909/956

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 72/738, 96/285, 909/956?

Answer: LCM of Numerators as per given numbers 72/738, 96/285, 909/956 is

LCM of Numerators i.e. for 72,96,909 is 29088

GCF of denominators i.e. for 738,285,956 is 1.

Thus, LCM of Fractions is 29088.Finally, LCM of Fractions for 72/738, 96/285, 909/956 is 29088.