Least Common Multiple of 56/519, 96/963, 733/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/519, 96/963, 733/339 quickly i.e. 164192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/519, 96/963, 733/339 is 164192.

LCM(56/519, 96/963, 733/339) = 164192

LCM of 56/519, 96/963, 733/339

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 56/519,96/963,733/339

Given numbers are 56/519,96/963,733/339

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 56,96,733

Least Common Multiple of Numerators i.e. LCM of 56,96,733 is 492576.

GCF of Denominators means GCF of 519,963,339 as per the given fractions.

GCF of 519,963,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,96,733

LCM of Fractions 56/519,96/963,733/339 is 164192

2 56, 96, 733
2 28, 48, 733
2 14, 24, 733
7, 12, 733

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 12 x 733 = 492576

Least Common Multiple of 56,96,733 with GCF Formula

Least Common Multiple of 56,96,733 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 56,96,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,96,733) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,96,733) x common factors =1 x 8 = 8

LCM(56,96,733) = ( 56 × 96 × 733 ) / 8

LCM(56,96,733) = 3940608 / 8

LCM(56,96,733) = 492576


Lets's calculate GCF of 519,963,339

3 519, 963, 339
173, 321, 113

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492576/3

Therefore the LCM of Fractions 56/519,96/963,733/339 is 164192

Greatest Common Factor of 519,963,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,963,339 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 339

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

1,3,113,339

Greatest Common Factor

We found the factors 519,963,339 . The biggest common factor number is the GCF number.
So the greatest common factor 519,963,339 is 3.


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 56/519, 96/963, 733/339

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 56/519, 96/963, 733/339?

Answer: LCM of Numerators as per given numbers 56/519, 96/963, 733/339 is

LCM of Numerators i.e. for 56,96,733 is 492576

GCF of denominators i.e. for 519,963,339 is 3.

Thus, LCM of Fractions is 164192.Finally, LCM of Fractions for 56/519, 96/963, 733/339 is 164192.