Least Common Multiple of 36/556, 72/682, 722/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/556, 72/682, 722/412 quickly i.e. 12996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/556, 72/682, 722/412 is 12996.

LCM(36/556, 72/682, 722/412) = 12996

LCM of 36/556, 72/682, 722/412

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 36/556,72/682,722/412

Given numbers are 36/556,72/682,722/412

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 36,72,722

Least Common Multiple of Numerators i.e. LCM of 36,72,722 is 25992.

GCF of Denominators means GCF of 556,682,412 as per the given fractions.

GCF of 556,682,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,72,722

LCM of Fractions 36/556,72/682,722/412 is 12996

2 36, 72, 722
2 18, 36, 361
3 9, 18, 361
3 3, 6, 361
1, 2, 361

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 2 x 361 = 25992

Least Common Multiple of 36,72,722 with GCF Formula

Least Common Multiple of 36,72,722 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 36,72,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,72,722) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(36,72,722) x common factors =2 x 36 = 72

LCM(36,72,722) = ( 36 × 72 × 722 ) / 72

LCM(36,72,722) = 1871424 / 72

LCM(36,72,722) = 25992


Lets's calculate GCF of 556,682,412

2 556, 682, 412
278, 341, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25992/2

Therefore the LCM of Fractions 36/556,72/682,722/412 is 12996

Greatest Common Factor of 556,682,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,682,412 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 556,682,412 . The biggest common factor number is the GCF number.
So the greatest common factor 556,682,412 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 36/556, 72/682, 722/412

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 36/556, 72/682, 722/412?

Answer: LCM of Numerators as per given numbers 36/556, 72/682, 722/412 is

LCM of Numerators i.e. for 36,72,722 is 25992

GCF of denominators i.e. for 556,682,412 is 2.

Thus, LCM of Fractions is 12996.Finally, LCM of Fractions for 36/556, 72/682, 722/412 is 12996.