Least Common Multiple of 87/360, 9466/7291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/360, 9466/7291 quickly i.e. 823542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/360, 9466/7291 is 823542.

LCM(87/360, 9466/7291) = 823542

LCM of 87/360, 9466/7291

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 87/360,9466/7291

Given numbers are 87/360,9466/7291

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 87,9466

Least Common Multiple of Numerators i.e. LCM of 87,9466 is 823542.

GCF of Denominators means GCF of 360,7291 as per the given fractions.

GCF of 360,7291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,9466

LCM of Fractions 87/360,9466/7291 is 823542

Given numbers has no common factors except 1. So, there LCM is their product i.e 823542

Least Common Multiple of 87,9466 with GCF Formula

Least Common Multiple of 87,9466 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 87,9466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,9466) = 1

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

GCF(87,9466) x common factors =1 x 1 = 1

LCM(87,9466) = ( 87 × 9466 ) / 1

LCM(87,9466) = 823542 / 1

LCM(87,9466) = 823542


Lets's calculate GCF of 360,7291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 823542/1

Therefore the LCM of Fractions 87/360,9466/7291 is 823542

Greatest Common Factor of 360,7291 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,7291 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 7291

List of positive integer factors of 7291 that divides 7291 without a remainder.

1,23,317,7291

Greatest Common Factor

We found the factors 360,7291 . The biggest common factor number is the GCF number.
So the greatest common factor 360,7291 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 87/360, 9466/7291

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 87/360, 9466/7291?

Answer: LCM of Numerators as per given numbers 87/360, 9466/7291 is

LCM of Numerators i.e. for 87,9466 is 823542

GCF of denominators i.e. for 360,7291 is 1.

Thus, LCM of Fractions is 823542.Finally, LCM of Fractions for 87/360, 9466/7291 is 823542.