Least Common Multiple of 87/731, 179/958, 476/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/731, 179/958, 476/825 quickly i.e. 7412748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/731, 179/958, 476/825 is 7412748.

LCM(87/731, 179/958, 476/825) = 7412748

LCM of 87/731, 179/958, 476/825

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 87/731,179/958,476/825

Given numbers are 87/731,179/958,476/825

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 87,179,476

Least Common Multiple of Numerators i.e. LCM of 87,179,476 is 7412748.

GCF of Denominators means GCF of 731,958,825 as per the given fractions.

GCF of 731,958,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,179,476

LCM of Fractions 87/731,179/958,476/825 is 7412748

Given numbers has no common factors except 1. So, there LCM is their product i.e 7412748

Least Common Multiple of 87,179,476 with GCF Formula

Least Common Multiple of 87,179,476 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 87,179,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,179,476) = 1

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

GCF(87,179,476) x common factors =1 x 1 = 1

LCM(87,179,476) = ( 87 × 179 × 476 ) / 1

LCM(87,179,476) = 7412748 / 1

LCM(87,179,476) = 7412748


Lets's calculate GCF of 731,958,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7412748/1

Therefore the LCM of Fractions 87/731,179/958,476/825 is 7412748

Greatest Common Factor of 731,958,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,958,825 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 731,958,825 . The biggest common factor number is the GCF number.
So the greatest common factor 731,958,825 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 87/731, 179/958, 476/825

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 87/731, 179/958, 476/825?

Answer: LCM of Numerators as per given numbers 87/731, 179/958, 476/825 is

LCM of Numerators i.e. for 87,179,476 is 7412748

GCF of denominators i.e. for 731,958,825 is 1.

Thus, LCM of Fractions is 7412748.Finally, LCM of Fractions for 87/731, 179/958, 476/825 is 7412748.