Least Common Multiple of 21/809, 52/643, 249/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/809, 52/643, 249/662 quickly i.e. 90636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/809, 52/643, 249/662 is 90636.

LCM(21/809, 52/643, 249/662) = 90636

LCM of 21/809, 52/643, 249/662

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 21/809,52/643,249/662

Given numbers are 21/809,52/643,249/662

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 21,52,249

Least Common Multiple of Numerators i.e. LCM of 21,52,249 is 90636.

GCF of Denominators means GCF of 809,643,662 as per the given fractions.

GCF of 809,643,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,52,249

LCM of Fractions 21/809,52/643,249/662 is 90636

3 21, 52, 249
7, 52, 83

∴ So the LCM of the given numbers is 3 x 7 x 52 x 83 = 90636

Least Common Multiple of 21,52,249 with GCF Formula

Least Common Multiple of 21,52,249 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 21,52,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,52,249) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,52,249) x common factors =1 x 3 = 3

LCM(21,52,249) = ( 21 × 52 × 249 ) / 3

LCM(21,52,249) = 271908 / 3

LCM(21,52,249) = 90636


Lets's calculate GCF of 809,643,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90636/1

Therefore the LCM of Fractions 21/809,52/643,249/662 is 90636

Greatest Common Factor of 809,643,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,643,662 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 809,643,662 . The biggest common factor number is the GCF number.
So the greatest common factor 809,643,662 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 21/809, 52/643, 249/662

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 21/809, 52/643, 249/662?

Answer: LCM of Numerators as per given numbers 21/809, 52/643, 249/662 is

LCM of Numerators i.e. for 21,52,249 is 90636

GCF of denominators i.e. for 809,643,662 is 1.

Thus, LCM of Fractions is 90636.Finally, LCM of Fractions for 21/809, 52/643, 249/662 is 90636.