Least Common Multiple of 21/687, 79/197, 868/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/687, 79/197, 868/219 quickly i.e. 205716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/687, 79/197, 868/219 is 205716.

LCM(21/687, 79/197, 868/219) = 205716

LCM of 21/687, 79/197, 868/219

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 21/687,79/197,868/219

Given numbers are 21/687,79/197,868/219

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 21,79,868

Least Common Multiple of Numerators i.e. LCM of 21,79,868 is 205716.

GCF of Denominators means GCF of 687,197,219 as per the given fractions.

GCF of 687,197,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,79,868

LCM of Fractions 21/687,79/197,868/219 is 205716

7 21, 79, 868
3, 79, 124

∴ So the LCM of the given numbers is 7 x 3 x 79 x 124 = 205716

Least Common Multiple of 21,79,868 with GCF Formula

Least Common Multiple of 21,79,868 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 21,79,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,79,868) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,79,868) x common factors =1 x 7 = 7

LCM(21,79,868) = ( 21 × 79 × 868 ) / 7

LCM(21,79,868) = 1440012 / 7

LCM(21,79,868) = 205716


Lets's calculate GCF of 687,197,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205716/1

Therefore the LCM of Fractions 21/687,79/197,868/219 is 205716

Greatest Common Factor of 687,197,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,197,219 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 687,197,219 . The biggest common factor number is the GCF number.
So the greatest common factor 687,197,219 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 21/687, 79/197, 868/219

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 21/687, 79/197, 868/219?

Answer: LCM of Numerators as per given numbers 21/687, 79/197, 868/219 is

LCM of Numerators i.e. for 21,79,868 is 205716

GCF of denominators i.e. for 687,197,219 is 1.

Thus, LCM of Fractions is 205716.Finally, LCM of Fractions for 21/687, 79/197, 868/219 is 205716.