Least Common Multiple of 291/89, 189/96, 566/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/89, 189/96, 566/460 quickly i.e. 10376478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/89, 189/96, 566/460 is 10376478.

LCM(291/89, 189/96, 566/460) = 10376478

LCM of 291/89, 189/96, 566/460

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 291/89,189/96,566/460

Given numbers are 291/89,189/96,566/460

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 291,189,566

Least Common Multiple of Numerators i.e. LCM of 291,189,566 is 10376478.

GCF of Denominators means GCF of 89,96,460 as per the given fractions.

GCF of 89,96,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,189,566

LCM of Fractions 291/89,189/96,566/460 is 10376478

3 291, 189, 566
97, 63, 566

∴ So the LCM of the given numbers is 3 x 97 x 63 x 566 = 10376478

Least Common Multiple of 291,189,566 with GCF Formula

Least Common Multiple of 291,189,566 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 291,189,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,189,566) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(291,189,566) x common factors =1 x 3 = 3

LCM(291,189,566) = ( 291 × 189 × 566 ) / 3

LCM(291,189,566) = 31129434 / 3

LCM(291,189,566) = 10376478


Lets's calculate GCF of 89,96,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10376478/1

Therefore the LCM of Fractions 291/89,189/96,566/460 is 10376478

Greatest Common Factor of 89,96,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,96,460 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 89,96,460 . The biggest common factor number is the GCF number.
So the greatest common factor 89,96,460 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 291/89, 189/96, 566/460

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 291/89, 189/96, 566/460?

Answer: LCM of Numerators as per given numbers 291/89, 189/96, 566/460 is

LCM of Numerators i.e. for 291,189,566 is 10376478

GCF of denominators i.e. for 89,96,460 is 1.

Thus, LCM of Fractions is 10376478.Finally, LCM of Fractions for 291/89, 189/96, 566/460 is 10376478.