Least Common Multiple of 64/96, 28/86, 563/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/96, 28/86, 563/303 quickly i.e. 252224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/96, 28/86, 563/303 is 252224.

LCM(64/96, 28/86, 563/303) = 252224

LCM of 64/96, 28/86, 563/303

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 64/96,28/86,563/303

Given numbers are 64/96,28/86,563/303

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 64,28,563

Least Common Multiple of Numerators i.e. LCM of 64,28,563 is 252224.

GCF of Denominators means GCF of 96,86,303 as per the given fractions.

GCF of 96,86,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,28,563

LCM of Fractions 64/96,28/86,563/303 is 252224

2 64, 28, 563
2 32, 14, 563
16, 7, 563

∴ So the LCM of the given numbers is 2 x 2 x 16 x 7 x 563 = 252224

Least Common Multiple of 64,28,563 with GCF Formula

Least Common Multiple of 64,28,563 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 64,28,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,563) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,28,563) x common factors =1 x 4 = 4

LCM(64,28,563) = ( 64 × 28 × 563 ) / 4

LCM(64,28,563) = 1008896 / 4

LCM(64,28,563) = 252224


Lets's calculate GCF of 96,86,303

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252224/1

Therefore the LCM of Fractions 64/96,28/86,563/303 is 252224

Greatest Common Factor of 96,86,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,86,303 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 96,86,303 . The biggest common factor number is the GCF number.
So the greatest common factor 96,86,303 is 1.


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 64/96, 28/86, 563/303

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 64/96, 28/86, 563/303?

Answer: LCM of Numerators as per given numbers 64/96, 28/86, 563/303 is

LCM of Numerators i.e. for 64,28,563 is 252224

GCF of denominators i.e. for 96,86,303 is 1.

Thus, LCM of Fractions is 252224.Finally, LCM of Fractions for 64/96, 28/86, 563/303 is 252224.