Least Common Multiple of 86/666, 5136/7272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/666, 5136/7272 quickly i.e. 220848/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/666, 5136/7272 is 220848/18.

LCM(86/666, 5136/7272) = 220848/18

LCM of 86/666, 5136/7272

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 86/666,5136/7272

Given numbers are 86/666,5136/7272

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 86,5136

Least Common Multiple of Numerators i.e. LCM of 86,5136 is 220848.

GCF of Denominators means GCF of 666,7272 as per the given fractions.

GCF of 666,7272 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,5136

LCM of Fractions 86/666,5136/7272 is 220848/18

2 86, 5136
43, 2568

∴ So the LCM of the given numbers is 2 x 43 x 2568 = 220848

Least Common Multiple of 86,5136 with GCF Formula

Least Common Multiple of 86,5136 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 86,5136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,5136) = 2

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

GCF(86,5136) x common factors =2 x 1 = 2

LCM(86,5136) = ( 86 × 5136 ) / 2

LCM(86,5136) = 441696 / 2

LCM(86,5136) = 220848


Lets's calculate GCF of 666,7272

2 666, 7272
3 333, 3636
3 111, 1212
37, 404

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220848/18

Therefore the LCM of Fractions 86/666,5136/7272 is 220848/18

Greatest Common Factor of 666,7272 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,7272 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272

Greatest Common Factor

We found the factors 666,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 666,7272 is 18.


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 86/666, 5136/7272

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 86/666, 5136/7272?

Answer: LCM of Numerators as per given numbers 86/666, 5136/7272 is

LCM of Numerators i.e. for 86,5136 is 220848

GCF of denominators i.e. for 666,7272 is 18.

Thus, LCM of Fractions is 220848/18.Finally, LCM of Fractions for 86/666, 5136/7272 is 220848/18.