Least Common Multiple of 519/968, 339/731, 236/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/968, 339/731, 236/860 quickly i.e. 13840692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/968, 339/731, 236/860 is 13840692.

LCM(519/968, 339/731, 236/860) = 13840692

LCM of 519/968, 339/731, 236/860

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 519/968,339/731,236/860

Given numbers are 519/968,339/731,236/860

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 519,339,236

Least Common Multiple of Numerators i.e. LCM of 519,339,236 is 13840692.

GCF of Denominators means GCF of 968,731,860 as per the given fractions.

GCF of 968,731,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,339,236

LCM of Fractions 519/968,339/731,236/860 is 13840692

3 519, 339, 236
173, 113, 236

∴ So the LCM of the given numbers is 3 x 173 x 113 x 236 = 13840692

Least Common Multiple of 519,339,236 with GCF Formula

Least Common Multiple of 519,339,236 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 519,339,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,339,236) = 1

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

GCF(519,339,236) x common factors =1 x 3 = 3

LCM(519,339,236) = ( 519 × 339 × 236 ) / 3

LCM(519,339,236) = 41522076 / 3

LCM(519,339,236) = 13840692


Lets's calculate GCF of 968,731,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13840692/1

Therefore the LCM of Fractions 519/968,339/731,236/860 is 13840692

Greatest Common Factor of 968,731,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,731,860 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 968,731,860 . The biggest common factor number is the GCF number.
So the greatest common factor 968,731,860 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 519/968, 339/731, 236/860

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 519/968, 339/731, 236/860?

Answer: LCM of Numerators as per given numbers 519/968, 339/731, 236/860 is

LCM of Numerators i.e. for 519,339,236 is 13840692

GCF of denominators i.e. for 968,731,860 is 1.

Thus, LCM of Fractions is 13840692.Finally, LCM of Fractions for 519/968, 339/731, 236/860 is 13840692.