Least Common Multiple of 724/915, 213/944, 451/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/915, 213/944, 451/513 quickly i.e. 69549612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/915, 213/944, 451/513 is 69549612.

LCM(724/915, 213/944, 451/513) = 69549612

LCM of 724/915, 213/944, 451/513

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 724/915,213/944,451/513

Given numbers are 724/915,213/944,451/513

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 724,213,451

Least Common Multiple of Numerators i.e. LCM of 724,213,451 is 69549612.

GCF of Denominators means GCF of 915,944,513 as per the given fractions.

GCF of 915,944,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,213,451

LCM of Fractions 724/915,213/944,451/513 is 69549612

Given numbers has no common factors except 1. So, there LCM is their product i.e 69549612

Least Common Multiple of 724,213,451 with GCF Formula

Least Common Multiple of 724,213,451 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 724,213,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,213,451) = 1

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

GCF(724,213,451) x common factors =1 x 1 = 1

LCM(724,213,451) = ( 724 × 213 × 451 ) / 1

LCM(724,213,451) = 69549612 / 1

LCM(724,213,451) = 69549612


Lets's calculate GCF of 915,944,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69549612/1

Therefore the LCM of Fractions 724/915,213/944,451/513 is 69549612

Greatest Common Factor of 915,944,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,944,513 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 915,944,513 . The biggest common factor number is the GCF number.
So the greatest common factor 915,944,513 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 724/915, 213/944, 451/513

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 724/915, 213/944, 451/513?

Answer: LCM of Numerators as per given numbers 724/915, 213/944, 451/513 is

LCM of Numerators i.e. for 724,213,451 is 69549612

GCF of denominators i.e. for 915,944,513 is 1.

Thus, LCM of Fractions is 69549612.Finally, LCM of Fractions for 724/915, 213/944, 451/513 is 69549612.