Least Common Multiple of 31/71, 919/80, 324/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/71, 919/80, 324/872 quickly i.e. 9230436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/71, 919/80, 324/872 is 9230436.

LCM(31/71, 919/80, 324/872) = 9230436

LCM of 31/71, 919/80, 324/872

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 31/71,919/80,324/872

Given numbers are 31/71,919/80,324/872

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 31,919,324

Least Common Multiple of Numerators i.e. LCM of 31,919,324 is 9230436.

GCF of Denominators means GCF of 71,80,872 as per the given fractions.

GCF of 71,80,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,919,324

LCM of Fractions 31/71,919/80,324/872 is 9230436

Given numbers has no common factors except 1. So, there LCM is their product i.e 9230436

Least Common Multiple of 31,919,324 with GCF Formula

Least Common Multiple of 31,919,324 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 31,919,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,919,324) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,919,324) x common factors =1 x 1 = 1

LCM(31,919,324) = ( 31 × 919 × 324 ) / 1

LCM(31,919,324) = 9230436 / 1

LCM(31,919,324) = 9230436


Lets's calculate GCF of 71,80,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9230436/1

Therefore the LCM of Fractions 31/71,919/80,324/872 is 9230436

Greatest Common Factor of 71,80,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,80,872 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 71,80,872 . The biggest common factor number is the GCF number.
So the greatest common factor 71,80,872 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 31/71, 919/80, 324/872

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 31/71, 919/80, 324/872?

Answer: LCM of Numerators as per given numbers 31/71, 919/80, 324/872 is

LCM of Numerators i.e. for 31,919,324 is 9230436

GCF of denominators i.e. for 71,80,872 is 1.

Thus, LCM of Fractions is 9230436.Finally, LCM of Fractions for 31/71, 919/80, 324/872 is 9230436.