Least Common Multiple of 363/48, 906/36, 568/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/48, 906/36, 568/561 quickly i.e. 10377928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/48, 906/36, 568/561 is 10377928.

LCM(363/48, 906/36, 568/561) = 10377928

LCM of 363/48, 906/36, 568/561

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 363/48,906/36,568/561

Given numbers are 363/48,906/36,568/561

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 363,906,568

Least Common Multiple of Numerators i.e. LCM of 363,906,568 is 31133784.

GCF of Denominators means GCF of 48,36,561 as per the given fractions.

GCF of 48,36,561 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,906,568

LCM of Fractions 363/48,906/36,568/561 is 10377928

2 363, 906, 568
3 363, 453, 284
121, 151, 284

∴ So the LCM of the given numbers is 2 x 3 x 121 x 151 x 284 = 31133784

Least Common Multiple of 363,906,568 with GCF Formula

Least Common Multiple of 363,906,568 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 363,906,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,906,568) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(363,906,568) x common factors =1 x 6 = 6

LCM(363,906,568) = ( 363 × 906 × 568 ) / 6

LCM(363,906,568) = 186802704 / 6

LCM(363,906,568) = 31133784


Lets's calculate GCF of 48,36,561

3 48, 36, 561
16, 12, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31133784/3

Therefore the LCM of Fractions 363/48,906/36,568/561 is 10377928

Greatest Common Factor of 48,36,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,36,561 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 48,36,561 . The biggest common factor number is the GCF number.
So the greatest common factor 48,36,561 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 363/48, 906/36, 568/561

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 363/48, 906/36, 568/561?

Answer: LCM of Numerators as per given numbers 363/48, 906/36, 568/561 is

LCM of Numerators i.e. for 363,906,568 is 31133784

GCF of denominators i.e. for 48,36,561 is 3.

Thus, LCM of Fractions is 10377928.Finally, LCM of Fractions for 363/48, 906/36, 568/561 is 10377928.