Least Common Multiple of 36/292, 22/618, 624/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/292, 22/618, 624/402 quickly i.e. 10296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/292, 22/618, 624/402 is 10296.

LCM(36/292, 22/618, 624/402) = 10296

LCM of 36/292, 22/618, 624/402

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 36/292,22/618,624/402

Given numbers are 36/292,22/618,624/402

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 36,22,624

Least Common Multiple of Numerators i.e. LCM of 36,22,624 is 20592.

GCF of Denominators means GCF of 292,618,402 as per the given fractions.

GCF of 292,618,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,22,624

LCM of Fractions 36/292,22/618,624/402 is 10296

2 36, 22, 624
2 18, 11, 312
3 9, 11, 156
3, 11, 52

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 52 = 20592

Least Common Multiple of 36,22,624 with GCF Formula

Least Common Multiple of 36,22,624 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 36,22,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,22,624) = 2

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

GCF(36,22,624) x common factors =2 x 12 = 24

LCM(36,22,624) = ( 36 × 22 × 624 ) / 24

LCM(36,22,624) = 494208 / 24

LCM(36,22,624) = 20592


Lets's calculate GCF of 292,618,402

2 292, 618, 402
146, 309, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20592/2

Therefore the LCM of Fractions 36/292,22/618,624/402 is 10296

Greatest Common Factor of 292,618,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,618,402 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 292,618,402 . The biggest common factor number is the GCF number.
So the greatest common factor 292,618,402 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 36/292, 22/618, 624/402

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 36/292, 22/618, 624/402?

Answer: LCM of Numerators as per given numbers 36/292, 22/618, 624/402 is

LCM of Numerators i.e. for 36,22,624 is 20592

GCF of denominators i.e. for 292,618,402 is 2.

Thus, LCM of Fractions is 10296.Finally, LCM of Fractions for 36/292, 22/618, 624/402 is 10296.