Least Common Multiple of 21/288, 461/957, 564/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/288, 461/957, 564/317 quickly i.e. 1820028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/288, 461/957, 564/317 is 1820028.

LCM(21/288, 461/957, 564/317) = 1820028

LCM of 21/288, 461/957, 564/317

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 21/288,461/957,564/317

Given numbers are 21/288,461/957,564/317

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 21,461,564

Least Common Multiple of Numerators i.e. LCM of 21,461,564 is 1820028.

GCF of Denominators means GCF of 288,957,317 as per the given fractions.

GCF of 288,957,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,461,564

LCM of Fractions 21/288,461/957,564/317 is 1820028

3 21, 461, 564
7, 461, 188

∴ So the LCM of the given numbers is 3 x 7 x 461 x 188 = 1820028

Least Common Multiple of 21,461,564 with GCF Formula

Least Common Multiple of 21,461,564 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 21,461,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,461,564) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,461,564) x common factors =1 x 3 = 3

LCM(21,461,564) = ( 21 × 461 × 564 ) / 3

LCM(21,461,564) = 5460084 / 3

LCM(21,461,564) = 1820028


Lets's calculate GCF of 288,957,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1820028/1

Therefore the LCM of Fractions 21/288,461/957,564/317 is 1820028

Greatest Common Factor of 288,957,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,957,317 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

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

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 288,957,317 . The biggest common factor number is the GCF number.
So the greatest common factor 288,957,317 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 21/288, 461/957, 564/317

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 21/288, 461/957, 564/317?

Answer: LCM of Numerators as per given numbers 21/288, 461/957, 564/317 is

LCM of Numerators i.e. for 21,461,564 is 1820028

GCF of denominators i.e. for 288,957,317 is 1.

Thus, LCM of Fractions is 1820028.Finally, LCM of Fractions for 21/288, 461/957, 564/317 is 1820028.