Least Common Multiple of 21/339, 57/526, 509/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/339, 57/526, 509/859 quickly i.e. 203091 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/339, 57/526, 509/859 is 203091.

LCM(21/339, 57/526, 509/859) = 203091

LCM of 21/339, 57/526, 509/859

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 21/339,57/526,509/859

Given numbers are 21/339,57/526,509/859

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 21,57,509

Least Common Multiple of Numerators i.e. LCM of 21,57,509 is 203091.

GCF of Denominators means GCF of 339,526,859 as per the given fractions.

GCF of 339,526,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,57,509

LCM of Fractions 21/339,57/526,509/859 is 203091

3 21, 57, 509
7, 19, 509

∴ So the LCM of the given numbers is 3 x 7 x 19 x 509 = 203091

Least Common Multiple of 21,57,509 with GCF Formula

Least Common Multiple of 21,57,509 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 21,57,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,57,509) = 1

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

GCF(21,57,509) x common factors =1 x 3 = 3

LCM(21,57,509) = ( 21 × 57 × 509 ) / 3

LCM(21,57,509) = 609273 / 3

LCM(21,57,509) = 203091


Lets's calculate GCF of 339,526,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203091/1

Therefore the LCM of Fractions 21/339,57/526,509/859 is 203091

Greatest Common Factor of 339,526,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,526,859 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 339,526,859 . The biggest common factor number is the GCF number.
So the greatest common factor 339,526,859 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 21/339, 57/526, 509/859

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 21/339, 57/526, 509/859?

Answer: LCM of Numerators as per given numbers 21/339, 57/526, 509/859 is

LCM of Numerators i.e. for 21,57,509 is 203091

GCF of denominators i.e. for 339,526,859 is 1.

Thus, LCM of Fractions is 203091.Finally, LCM of Fractions for 21/339, 57/526, 509/859 is 203091.