Least Common Multiple of 21/594, 24/399, 859/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/594, 24/399, 859/340 quickly i.e. 144312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/594, 24/399, 859/340 is 144312.

LCM(21/594, 24/399, 859/340) = 144312

LCM of 21/594, 24/399, 859/340

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 21/594,24/399,859/340

Given numbers are 21/594,24/399,859/340

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 21,24,859

Least Common Multiple of Numerators i.e. LCM of 21,24,859 is 144312.

GCF of Denominators means GCF of 594,399,340 as per the given fractions.

GCF of 594,399,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,24,859

LCM of Fractions 21/594,24/399,859/340 is 144312

3 21, 24, 859
7, 8, 859

∴ So the LCM of the given numbers is 3 x 7 x 8 x 859 = 144312

Least Common Multiple of 21,24,859 with GCF Formula

Least Common Multiple of 21,24,859 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 21,24,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,24,859) = 1

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

GCF(21,24,859) x common factors =1 x 3 = 3

LCM(21,24,859) = ( 21 × 24 × 859 ) / 3

LCM(21,24,859) = 432936 / 3

LCM(21,24,859) = 144312


Lets's calculate GCF of 594,399,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144312/1

Therefore the LCM of Fractions 21/594,24/399,859/340 is 144312

Greatest Common Factor of 594,399,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,399,340 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 594,399,340 . The biggest common factor number is the GCF number.
So the greatest common factor 594,399,340 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 21/594, 24/399, 859/340

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 21/594, 24/399, 859/340?

Answer: LCM of Numerators as per given numbers 21/594, 24/399, 859/340 is

LCM of Numerators i.e. for 21,24,859 is 144312

GCF of denominators i.e. for 594,399,340 is 1.

Thus, LCM of Fractions is 144312.Finally, LCM of Fractions for 21/594, 24/399, 859/340 is 144312.