Least Common Multiple of 468/46, 157/71, 567/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/46, 157/71, 567/872 quickly i.e. 4628988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/46, 157/71, 567/872 is 4628988.

LCM(468/46, 157/71, 567/872) = 4628988

LCM of 468/46, 157/71, 567/872

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 468/46,157/71,567/872

Given numbers are 468/46,157/71,567/872

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 468,157,567

Least Common Multiple of Numerators i.e. LCM of 468,157,567 is 4628988.

GCF of Denominators means GCF of 46,71,872 as per the given fractions.

GCF of 46,71,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,157,567

LCM of Fractions 468/46,157/71,567/872 is 4628988

3 468, 157, 567
3 156, 157, 189
52, 157, 63

∴ So the LCM of the given numbers is 3 x 3 x 52 x 157 x 63 = 4628988

Least Common Multiple of 468,157,567 with GCF Formula

Least Common Multiple of 468,157,567 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 468,157,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,157,567) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(468,157,567) x common factors =1 x 9 = 9

LCM(468,157,567) = ( 468 × 157 × 567 ) / 9

LCM(468,157,567) = 41660892 / 9

LCM(468,157,567) = 4628988


Lets's calculate GCF of 46,71,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4628988/1

Therefore the LCM of Fractions 468/46,157/71,567/872 is 4628988

Greatest Common Factor of 46,71,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,71,872 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 46,71,872 . The biggest common factor number is the GCF number.
So the greatest common factor 46,71,872 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 468/46, 157/71, 567/872

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 468/46, 157/71, 567/872?

Answer: LCM of Numerators as per given numbers 468/46, 157/71, 567/872 is

LCM of Numerators i.e. for 468,157,567 is 4628988

GCF of denominators i.e. for 46,71,872 is 1.

Thus, LCM of Fractions is 4628988.Finally, LCM of Fractions for 468/46, 157/71, 567/872 is 4628988.