Least Common Multiple of 21/216, 204/986, 918/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/216, 204/986, 918/559 quickly i.e. 12852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/216, 204/986, 918/559 is 12852.

LCM(21/216, 204/986, 918/559) = 12852

LCM of 21/216, 204/986, 918/559

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 21/216,204/986,918/559

Given numbers are 21/216,204/986,918/559

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 21,204,918

Least Common Multiple of Numerators i.e. LCM of 21,204,918 is 12852.

GCF of Denominators means GCF of 216,986,559 as per the given fractions.

GCF of 216,986,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,204,918

LCM of Fractions 21/216,204/986,918/559 is 12852

2 21, 204, 918
3 21, 102, 459
17 7, 34, 153
7, 2, 9

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 2 x 9 = 12852

Least Common Multiple of 21,204,918 with GCF Formula

Least Common Multiple of 21,204,918 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 21,204,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,204,918) = 3

common factors(in case of two or more numbers have common factors) = 102

GCF(21,204,918) x common factors =3 x 102 = 306

LCM(21,204,918) = ( 21 × 204 × 918 ) / 306

LCM(21,204,918) = 3932712 / 306

LCM(21,204,918) = 12852


Lets's calculate GCF of 216,986,559

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12852/1

Therefore the LCM of Fractions 21/216,204/986,918/559 is 12852

Greatest Common Factor of 216,986,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,986,559 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 216,986,559 . The biggest common factor number is the GCF number.
So the greatest common factor 216,986,559 is 1.


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 21/216, 204/986, 918/559

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 21/216, 204/986, 918/559?

Answer: LCM of Numerators as per given numbers 21/216, 204/986, 918/559 is

LCM of Numerators i.e. for 21,204,918 is 12852

GCF of denominators i.e. for 216,986,559 is 1.

Thus, LCM of Fractions is 12852.Finally, LCM of Fractions for 21/216, 204/986, 918/559 is 12852.