Least Common Multiple of 289/339, 858/267, 893/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/339, 858/267, 893/652 quickly i.e. 221430066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/339, 858/267, 893/652 is 221430066.

LCM(289/339, 858/267, 893/652) = 221430066

LCM of 289/339, 858/267, 893/652

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 289/339,858/267,893/652

Given numbers are 289/339,858/267,893/652

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 289,858,893

Least Common Multiple of Numerators i.e. LCM of 289,858,893 is 221430066.

GCF of Denominators means GCF of 339,267,652 as per the given fractions.

GCF of 339,267,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,858,893

LCM of Fractions 289/339,858/267,893/652 is 221430066

Given numbers has no common factors except 1. So, there LCM is their product i.e 221430066

Least Common Multiple of 289,858,893 with GCF Formula

Least Common Multiple of 289,858,893 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 289,858,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,858,893) = 1

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

GCF(289,858,893) x common factors =1 x 1 = 1

LCM(289,858,893) = ( 289 × 858 × 893 ) / 1

LCM(289,858,893) = 221430066 / 1

LCM(289,858,893) = 221430066


Lets's calculate GCF of 339,267,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221430066/1

Therefore the LCM of Fractions 289/339,858/267,893/652 is 221430066

Greatest Common Factor of 339,267,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,267,652 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 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 339,267,652 . The biggest common factor number is the GCF number.
So the greatest common factor 339,267,652 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 289/339, 858/267, 893/652

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 289/339, 858/267, 893/652?

Answer: LCM of Numerators as per given numbers 289/339, 858/267, 893/652 is

LCM of Numerators i.e. for 289,858,893 is 221430066

GCF of denominators i.e. for 339,267,652 is 1.

Thus, LCM of Fractions is 221430066.Finally, LCM of Fractions for 289/339, 858/267, 893/652 is 221430066.