Least Common Multiple of 564/27, 269/7695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/27, 269/7695 quickly i.e. 151716/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/27, 269/7695 is 151716/27.

LCM(564/27, 269/7695) = 151716/27

LCM of 564/27, 269/7695

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 564/27,269/7695

Given numbers are 564/27,269/7695

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 564,269

Least Common Multiple of Numerators i.e. LCM of 564,269 is 151716.

GCF of Denominators means GCF of 27,7695 as per the given fractions.

GCF of 27,7695 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,269

LCM of Fractions 564/27,269/7695 is 151716/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 151716

Least Common Multiple of 564,269 with GCF Formula

Least Common Multiple of 564,269 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 564,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,269) = 1

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

GCF(564,269) x common factors =1 x 1 = 1

LCM(564,269) = ( 564 × 269 ) / 1

LCM(564,269) = 151716 / 1

LCM(564,269) = 151716


Lets's calculate GCF of 27,7695

3 27, 7695
3 9, 2565
3 3, 855
1, 285

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151716/27

Therefore the LCM of Fractions 564/27,269/7695 is 151716/27

Greatest Common Factor of 27,7695 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,7695 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Greatest Common Factor

We found the factors 27,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 27,7695 is 27.


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 564/27, 269/7695

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 564/27, 269/7695?

Answer: LCM of Numerators as per given numbers 564/27, 269/7695 is

LCM of Numerators i.e. for 564,269 is 151716

GCF of denominators i.e. for 27,7695 is 27.

Thus, LCM of Fractions is 151716/27.Finally, LCM of Fractions for 564/27, 269/7695 is 151716/27.