Least Common Multiple of 36/444, 5631/8772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/444, 5631/8772 quickly i.e. 5631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/444, 5631/8772 is 5631.

LCM(36/444, 5631/8772) = 5631

LCM of 36/444, 5631/8772

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 36/444,5631/8772

Given numbers are 36/444,5631/8772

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 36,5631

Least Common Multiple of Numerators i.e. LCM of 36,5631 is 67572.

GCF of Denominators means GCF of 444,8772 as per the given fractions.

GCF of 444,8772 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,5631

LCM of Fractions 36/444,5631/8772 is 5631

3 36, 5631
12, 1877

∴ So the LCM of the given numbers is 3 x 12 x 1877 = 67572

Least Common Multiple of 36,5631 with GCF Formula

Least Common Multiple of 36,5631 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 36,5631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,5631) = 3

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

GCF(36,5631) x common factors =3 x 1 = 3

LCM(36,5631) = ( 36 × 5631 ) / 3

LCM(36,5631) = 202716 / 3

LCM(36,5631) = 67572


Lets's calculate GCF of 444,8772

2 444, 8772
2 222, 4386
3 111, 2193
37, 731

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67572/12

Therefore the LCM of Fractions 36/444,5631/8772 is 5631

Greatest Common Factor of 444,8772 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,8772 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors 444,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 444,8772 is 12.


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 36/444, 5631/8772

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 36/444, 5631/8772?

Answer: LCM of Numerators as per given numbers 36/444, 5631/8772 is

LCM of Numerators i.e. for 36,5631 is 67572

GCF of denominators i.e. for 444,8772 is 12.

Thus, LCM of Fractions is 5631.Finally, LCM of Fractions for 36/444, 5631/8772 is 5631.