Least Common Multiple of 947/725, 312/500, 764/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 947/725, 312/500, 764/407 quickly i.e. 56433624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 947/725, 312/500, 764/407 is 56433624.

LCM(947/725, 312/500, 764/407) = 56433624

LCM of 947/725, 312/500, 764/407

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 947/725,312/500,764/407

Given numbers are 947/725,312/500,764/407

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 947,312,764

Least Common Multiple of Numerators i.e. LCM of 947,312,764 is 56433624.

GCF of Denominators means GCF of 725,500,407 as per the given fractions.

GCF of 725,500,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 947,312,764

LCM of Fractions 947/725,312/500,764/407 is 56433624

2 947, 312, 764
2 947, 156, 382
947, 78, 191

∴ So the LCM of the given numbers is 2 x 2 x 947 x 78 x 191 = 56433624

Least Common Multiple of 947,312,764 with GCF Formula

Least Common Multiple of 947,312,764 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 947,312,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,312,764) = 1

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

GCF(947,312,764) x common factors =1 x 4 = 4

LCM(947,312,764) = ( 947 × 312 × 764 ) / 4

LCM(947,312,764) = 225734496 / 4

LCM(947,312,764) = 56433624


Lets's calculate GCF of 725,500,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56433624/1

Therefore the LCM of Fractions 947/725,312/500,764/407 is 56433624

Greatest Common Factor of 725,500,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,500,407 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 725,500,407 . The biggest common factor number is the GCF number.
So the greatest common factor 725,500,407 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 947/725, 312/500, 764/407

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 947/725, 312/500, 764/407?

Answer: LCM of Numerators as per given numbers 947/725, 312/500, 764/407 is

LCM of Numerators i.e. for 947,312,764 is 56433624

GCF of denominators i.e. for 725,500,407 is 1.

Thus, LCM of Fractions is 56433624.Finally, LCM of Fractions for 947/725, 312/500, 764/407 is 56433624.