Least Common Multiple of 202/29, 100/18, 204/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 202/29, 100/18, 204/406 quickly i.e. 515100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 202/29, 100/18, 204/406 is 515100.

LCM(202/29, 100/18, 204/406) = 515100

LCM of 202/29, 100/18, 204/406

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 202/29,100/18,204/406

Given numbers are 202/29,100/18,204/406

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 202,100,204

Least Common Multiple of Numerators i.e. LCM of 202,100,204 is 515100.

GCF of Denominators means GCF of 29,18,406 as per the given fractions.

GCF of 29,18,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 202,100,204

LCM of Fractions 202/29,100/18,204/406 is 515100

2 202, 100, 204
2 101, 50, 102
101, 25, 51

∴ So the LCM of the given numbers is 2 x 2 x 101 x 25 x 51 = 515100

Least Common Multiple of 202,100,204 with GCF Formula

Least Common Multiple of 202,100,204 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 202,100,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,100,204) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(202,100,204) x common factors =2 x 4 = 8

LCM(202,100,204) = ( 202 × 100 × 204 ) / 8

LCM(202,100,204) = 4120800 / 8

LCM(202,100,204) = 515100


Lets's calculate GCF of 29,18,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515100/1

Therefore the LCM of Fractions 202/29,100/18,204/406 is 515100

Greatest Common Factor of 29,18,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,18,406 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 29,18,406 . The biggest common factor number is the GCF number.
So the greatest common factor 29,18,406 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 202/29, 100/18, 204/406

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 202/29, 100/18, 204/406?

Answer: LCM of Numerators as per given numbers 202/29, 100/18, 204/406 is

LCM of Numerators i.e. for 202,100,204 is 515100

GCF of denominators i.e. for 29,18,406 is 1.

Thus, LCM of Fractions is 515100.Finally, LCM of Fractions for 202/29, 100/18, 204/406 is 515100.