Least Common Multiple of 564/85, 846/31, 791/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/85, 846/31, 791/180 quickly i.e. 1338372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/85, 846/31, 791/180 is 1338372.

LCM(564/85, 846/31, 791/180) = 1338372

LCM of 564/85, 846/31, 791/180

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 564/85,846/31,791/180

Given numbers are 564/85,846/31,791/180

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 564,846,791

Least Common Multiple of Numerators i.e. LCM of 564,846,791 is 1338372.

GCF of Denominators means GCF of 85,31,180 as per the given fractions.

GCF of 85,31,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,846,791

LCM of Fractions 564/85,846/31,791/180 is 1338372

2 564, 846, 791
3 282, 423, 791
47 94, 141, 791
2, 3, 791

∴ So the LCM of the given numbers is 2 x 3 x 47 x 2 x 3 x 791 = 1338372

Least Common Multiple of 564,846,791 with GCF Formula

Least Common Multiple of 564,846,791 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 564,846,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,846,791) = 1

common factors(in case of two or more numbers have common factors) = 282

GCF(564,846,791) x common factors =1 x 282 = 282

LCM(564,846,791) = ( 564 × 846 × 791 ) / 282

LCM(564,846,791) = 377420904 / 282

LCM(564,846,791) = 1338372


Lets's calculate GCF of 85,31,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1338372/1

Therefore the LCM of Fractions 564/85,846/31,791/180 is 1338372

Greatest Common Factor of 85,31,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,31,180 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 85,31,180 . The biggest common factor number is the GCF number.
So the greatest common factor 85,31,180 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 564/85, 846/31, 791/180

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 564/85, 846/31, 791/180?

Answer: LCM of Numerators as per given numbers 564/85, 846/31, 791/180 is

LCM of Numerators i.e. for 564,846,791 is 1338372

GCF of denominators i.e. for 85,31,180 is 1.

Thus, LCM of Fractions is 1338372.Finally, LCM of Fractions for 564/85, 846/31, 791/180 is 1338372.