Least Common Multiple of 72/816, 408/242, 331/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/816, 408/242, 331/710 quickly i.e. 202572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/816, 408/242, 331/710 is 202572.

LCM(72/816, 408/242, 331/710) = 202572

LCM of 72/816, 408/242, 331/710

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 72/816,408/242,331/710

Given numbers are 72/816,408/242,331/710

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 72,408,331

Least Common Multiple of Numerators i.e. LCM of 72,408,331 is 405144.

GCF of Denominators means GCF of 816,242,710 as per the given fractions.

GCF of 816,242,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,408,331

LCM of Fractions 72/816,408/242,331/710 is 202572

2 72, 408, 331
2 36, 204, 331
2 18, 102, 331
3 9, 51, 331
3, 17, 331

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 17 x 331 = 405144

Least Common Multiple of 72,408,331 with GCF Formula

Least Common Multiple of 72,408,331 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 72,408,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,408,331) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,408,331) x common factors =1 x 24 = 24

LCM(72,408,331) = ( 72 × 408 × 331 ) / 24

LCM(72,408,331) = 9723456 / 24

LCM(72,408,331) = 405144


Lets's calculate GCF of 816,242,710

2 816, 242, 710
408, 121, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405144/2

Therefore the LCM of Fractions 72/816,408/242,331/710 is 202572

Greatest Common Factor of 816,242,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,242,710 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 816,242,710 . The biggest common factor number is the GCF number.
So the greatest common factor 816,242,710 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 72/816, 408/242, 331/710

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 72/816, 408/242, 331/710?

Answer: LCM of Numerators as per given numbers 72/816, 408/242, 331/710 is

LCM of Numerators i.e. for 72,408,331 is 405144

GCF of denominators i.e. for 816,242,710 is 2.

Thus, LCM of Fractions is 202572.Finally, LCM of Fractions for 72/816, 408/242, 331/710 is 202572.