Least Common Multiple of 567/15, 217/2916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/15, 217/2916 quickly i.e. 5859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/15, 217/2916 is 5859.

LCM(567/15, 217/2916) = 5859

LCM of 567/15, 217/2916

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 567/15,217/2916

Given numbers are 567/15,217/2916

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 567,217

Least Common Multiple of Numerators i.e. LCM of 567,217 is 17577.

GCF of Denominators means GCF of 15,2916 as per the given fractions.

GCF of 15,2916 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,217

LCM of Fractions 567/15,217/2916 is 5859

7 567, 217
81, 31

∴ So the LCM of the given numbers is 7 x 81 x 31 = 17577

Least Common Multiple of 567,217 with GCF Formula

Least Common Multiple of 567,217 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 567,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,217) = 7

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

GCF(567,217) x common factors =7 x 1 = 7

LCM(567,217) = ( 567 × 217 ) / 7

LCM(567,217) = 123039 / 7

LCM(567,217) = 17577


Lets's calculate GCF of 15,2916

3 15, 2916
5, 972

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17577/3

Therefore the LCM of Fractions 567/15,217/2916 is 5859

Greatest Common Factor of 15,2916 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,2916 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916

Greatest Common Factor

We found the factors 15,2916 . The biggest common factor number is the GCF number.
So the greatest common factor 15,2916 is 3.


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 567/15, 217/2916

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 567/15, 217/2916?

Answer: LCM of Numerators as per given numbers 567/15, 217/2916 is

LCM of Numerators i.e. for 567,217 is 17577

GCF of denominators i.e. for 15,2916 is 3.

Thus, LCM of Fractions is 5859.Finally, LCM of Fractions for 567/15, 217/2916 is 5859.