Least Common Multiple of 81/300, 752/616, 563/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/300, 752/616, 563/576 quickly i.e. 8573364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/300, 752/616, 563/576 is 8573364.

LCM(81/300, 752/616, 563/576) = 8573364

LCM of 81/300, 752/616, 563/576

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 81/300,752/616,563/576

Given numbers are 81/300,752/616,563/576

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 81,752,563

Least Common Multiple of Numerators i.e. LCM of 81,752,563 is 34293456.

GCF of Denominators means GCF of 300,616,576 as per the given fractions.

GCF of 300,616,576 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,752,563

LCM of Fractions 81/300,752/616,563/576 is 8573364

Given numbers has no common factors except 1. So, there LCM is their product i.e 34293456

Least Common Multiple of 81,752,563 with GCF Formula

Least Common Multiple of 81,752,563 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 81,752,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,752,563) = 1

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

GCF(81,752,563) x common factors =1 x 1 = 1

LCM(81,752,563) = ( 81 × 752 × 563 ) / 1

LCM(81,752,563) = 34293456 / 1

LCM(81,752,563) = 34293456


Lets's calculate GCF of 300,616,576

2 300, 616, 576
2 150, 308, 288
75, 154, 144

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34293456/4

Therefore the LCM of Fractions 81/300,752/616,563/576 is 8573364

Greatest Common Factor of 300,616,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,616,576 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 300,616,576 . The biggest common factor number is the GCF number.
So the greatest common factor 300,616,576 is 4.


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 81/300, 752/616, 563/576

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 81/300, 752/616, 563/576?

Answer: LCM of Numerators as per given numbers 81/300, 752/616, 563/576 is

LCM of Numerators i.e. for 81,752,563 is 34293456

GCF of denominators i.e. for 300,616,576 is 4.

Thus, LCM of Fractions is 8573364.Finally, LCM of Fractions for 81/300, 752/616, 563/576 is 8573364.