Least Common Multiple of 636/111, 384/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/111, 384/426 quickly i.e. 6784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/111, 384/426 is 6784.

LCM(636/111, 384/426) = 6784

LCM of 636/111, 384/426

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 636/111,384/426

Given numbers are 636/111,384/426

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 636,384

Least Common Multiple of Numerators i.e. LCM of 636,384 is 20352.

GCF of Denominators means GCF of 111,426 as per the given fractions.

GCF of 111,426 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,384

LCM of Fractions 636/111,384/426 is 6784

2 636, 384
2 318, 192
3 159, 96
53, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 32 = 20352

Least Common Multiple of 636,384 with GCF Formula

Least Common Multiple of 636,384 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 636,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,384) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(636,384) x common factors =12 x 1 = 12

LCM(636,384) = ( 636 × 384 ) / 12

LCM(636,384) = 244224 / 12

LCM(636,384) = 20352


Lets's calculate GCF of 111,426

3 111, 426
37, 142

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20352/3

Therefore the LCM of Fractions 636/111,384/426 is 6784

Greatest Common Factor of 111,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,426 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 111,426 . The biggest common factor number is the GCF number.
So the greatest common factor 111,426 is 3.


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 636/111, 384/426

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 636/111, 384/426?

Answer: LCM of Numerators as per given numbers 636/111, 384/426 is

LCM of Numerators i.e. for 636,384 is 20352

GCF of denominators i.e. for 111,426 is 3.

Thus, LCM of Fractions is 6784.Finally, LCM of Fractions for 636/111, 384/426 is 6784.