Least Common Multiple of 81/390, 24/868, 136/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/390, 24/868, 136/260 quickly i.e. 5508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/390, 24/868, 136/260 is 5508.

LCM(81/390, 24/868, 136/260) = 5508

LCM of 81/390, 24/868, 136/260

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 81/390,24/868,136/260

Given numbers are 81/390,24/868,136/260

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 81,24,136

Least Common Multiple of Numerators i.e. LCM of 81,24,136 is 11016.

GCF of Denominators means GCF of 390,868,260 as per the given fractions.

GCF of 390,868,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,24,136

LCM of Fractions 81/390,24/868,136/260 is 5508

2 81, 24, 136
2 81, 12, 68
2 81, 6, 34
3 81, 3, 17
27, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 27 x 1 x 17 = 11016

Least Common Multiple of 81,24,136 with GCF Formula

Least Common Multiple of 81,24,136 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 81,24,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,24,136) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(81,24,136) x common factors =1 x 24 = 24

LCM(81,24,136) = ( 81 × 24 × 136 ) / 24

LCM(81,24,136) = 264384 / 24

LCM(81,24,136) = 11016


Lets's calculate GCF of 390,868,260

2 390, 868, 260
195, 434, 130

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11016/2

Therefore the LCM of Fractions 81/390,24/868,136/260 is 5508

Greatest Common Factor of 390,868,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,868,260 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 390,868,260 . The biggest common factor number is the GCF number.
So the greatest common factor 390,868,260 is 2.


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 81/390, 24/868, 136/260

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 81/390, 24/868, 136/260?

Answer: LCM of Numerators as per given numbers 81/390, 24/868, 136/260 is

LCM of Numerators i.e. for 81,24,136 is 11016

GCF of denominators i.e. for 390,868,260 is 2.

Thus, LCM of Fractions is 5508.Finally, LCM of Fractions for 81/390, 24/868, 136/260 is 5508.