Least Common Multiple of 4564/21, 7296/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4564/21, 7296/257 quickly i.e. 8324736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4564/21, 7296/257 is 8324736.

LCM(4564/21, 7296/257) = 8324736

LCM of 4564/21, 7296/257

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 4564/21,7296/257

Given numbers are 4564/21,7296/257

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 4564,7296

Least Common Multiple of Numerators i.e. LCM of 4564,7296 is 8324736.

GCF of Denominators means GCF of 21,257 as per the given fractions.

GCF of 21,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4564,7296

LCM of Fractions 4564/21,7296/257 is 8324736

2 4564, 7296
2 2282, 3648
1141, 1824

∴ So the LCM of the given numbers is 2 x 2 x 1141 x 1824 = 8324736

Least Common Multiple of 4564,7296 with GCF Formula

Least Common Multiple of 4564,7296 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 4564,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4564,7296) = 4

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

GCF(4564,7296) x common factors =4 x 1 = 4

LCM(4564,7296) = ( 4564 × 7296 ) / 4

LCM(4564,7296) = 33298944 / 4

LCM(4564,7296) = 8324736


Lets's calculate GCF of 21,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8324736/1

Therefore the LCM of Fractions 4564/21,7296/257 is 8324736

Greatest Common Factor of 21,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,257 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 21,257 . The biggest common factor number is the GCF number.
So the greatest common factor 21,257 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 4564/21, 7296/257

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 4564/21, 7296/257?

Answer: LCM of Numerators as per given numbers 4564/21, 7296/257 is

LCM of Numerators i.e. for 4564,7296 is 8324736

GCF of denominators i.e. for 21,257 is 1.

Thus, LCM of Fractions is 8324736.Finally, LCM of Fractions for 4564/21, 7296/257 is 8324736.