Least Common Multiple of 261/27, 504/5130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/27, 504/5130 quickly i.e. 14616/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/27, 504/5130 is 14616/27.

LCM(261/27, 504/5130) = 14616/27

LCM of 261/27, 504/5130

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 261/27,504/5130

Given numbers are 261/27,504/5130

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 261,504

Least Common Multiple of Numerators i.e. LCM of 261,504 is 14616.

GCF of Denominators means GCF of 27,5130 as per the given fractions.

GCF of 27,5130 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,504

LCM of Fractions 261/27,504/5130 is 14616/27

3 261, 504
3 87, 168
29, 56

∴ So the LCM of the given numbers is 3 x 3 x 29 x 56 = 14616

Least Common Multiple of 261,504 with GCF Formula

Least Common Multiple of 261,504 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 261,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,504) = 9

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

GCF(261,504) x common factors =9 x 1 = 9

LCM(261,504) = ( 261 × 504 ) / 9

LCM(261,504) = 131544 / 9

LCM(261,504) = 14616


Lets's calculate GCF of 27,5130

3 27, 5130
3 9, 1710
3 3, 570
1, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14616/27

Therefore the LCM of Fractions 261/27,504/5130 is 14616/27

Greatest Common Factor of 27,5130 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,5130 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 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Greatest Common Factor

We found the factors 27,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 27,5130 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 261/27, 504/5130

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 261/27, 504/5130?

Answer: LCM of Numerators as per given numbers 261/27, 504/5130 is

LCM of Numerators i.e. for 261,504 is 14616

GCF of denominators i.e. for 27,5130 is 27.

Thus, LCM of Fractions is 14616/27.Finally, LCM of Fractions for 261/27, 504/5130 is 14616/27.