Least Common Multiple of 249/209, 525/221, 636/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/209, 525/221, 636/218 quickly i.e. 9237900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/209, 525/221, 636/218 is 9237900.

LCM(249/209, 525/221, 636/218) = 9237900

LCM of 249/209, 525/221, 636/218

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 249/209,525/221,636/218

Given numbers are 249/209,525/221,636/218

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 249,525,636

Least Common Multiple of Numerators i.e. LCM of 249,525,636 is 9237900.

GCF of Denominators means GCF of 209,221,218 as per the given fractions.

GCF of 209,221,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,525,636

LCM of Fractions 249/209,525/221,636/218 is 9237900

3 249, 525, 636
83, 175, 212

∴ So the LCM of the given numbers is 3 x 83 x 175 x 212 = 9237900

Least Common Multiple of 249,525,636 with GCF Formula

Least Common Multiple of 249,525,636 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 249,525,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,525,636) = 3

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

GCF(249,525,636) x common factors =3 x 3 = 9

LCM(249,525,636) = ( 249 × 525 × 636 ) / 9

LCM(249,525,636) = 83141100 / 9

LCM(249,525,636) = 9237900


Lets's calculate GCF of 209,221,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9237900/1

Therefore the LCM of Fractions 249/209,525/221,636/218 is 9237900

Greatest Common Factor of 209,221,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,221,218 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 209,221,218 . The biggest common factor number is the GCF number.
So the greatest common factor 209,221,218 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 249/209, 525/221, 636/218

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 249/209, 525/221, 636/218?

Answer: LCM of Numerators as per given numbers 249/209, 525/221, 636/218 is

LCM of Numerators i.e. for 249,525,636 is 9237900

GCF of denominators i.e. for 209,221,218 is 1.

Thus, LCM of Fractions is 9237900.Finally, LCM of Fractions for 249/209, 525/221, 636/218 is 9237900.