Least Common Multiple of 36/206, 12/438, 341/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/206, 12/438, 341/822 quickly i.e. 6138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/206, 12/438, 341/822 is 6138.

LCM(36/206, 12/438, 341/822) = 6138

LCM of 36/206, 12/438, 341/822

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 36/206,12/438,341/822

Given numbers are 36/206,12/438,341/822

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 36,12,341

Least Common Multiple of Numerators i.e. LCM of 36,12,341 is 12276.

GCF of Denominators means GCF of 206,438,822 as per the given fractions.

GCF of 206,438,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,12,341

LCM of Fractions 36/206,12/438,341/822 is 6138

2 36, 12, 341
2 18, 6, 341
3 9, 3, 341
1, 3, 341

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 3 x 341 = 12276

Least Common Multiple of 36,12,341 with GCF Formula

Least Common Multiple of 36,12,341 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 36,12,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,12,341) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,12,341) x common factors =1 x 12 = 12

LCM(36,12,341) = ( 36 × 12 × 341 ) / 12

LCM(36,12,341) = 147312 / 12

LCM(36,12,341) = 12276


Lets's calculate GCF of 206,438,822

2 206, 438, 822
103, 219, 411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12276/2

Therefore the LCM of Fractions 36/206,12/438,341/822 is 6138

Greatest Common Factor of 206,438,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,438,822 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 206,438,822 . The biggest common factor number is the GCF number.
So the greatest common factor 206,438,822 is 2.


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 36/206, 12/438, 341/822

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 36/206, 12/438, 341/822?

Answer: LCM of Numerators as per given numbers 36/206, 12/438, 341/822 is

LCM of Numerators i.e. for 36,12,341 is 12276

GCF of denominators i.e. for 206,438,822 is 2.

Thus, LCM of Fractions is 6138.Finally, LCM of Fractions for 36/206, 12/438, 341/822 is 6138.