Least Common Multiple of 16/320, 76/333, 242/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/320, 76/333, 242/519 quickly i.e. 36784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/320, 76/333, 242/519 is 36784.

LCM(16/320, 76/333, 242/519) = 36784

LCM of 16/320, 76/333, 242/519

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 16/320,76/333,242/519

Given numbers are 16/320,76/333,242/519

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 16,76,242

Least Common Multiple of Numerators i.e. LCM of 16,76,242 is 36784.

GCF of Denominators means GCF of 320,333,519 as per the given fractions.

GCF of 320,333,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,76,242

LCM of Fractions 16/320,76/333,242/519 is 36784

2 16, 76, 242
2 8, 38, 121
4, 19, 121

∴ So the LCM of the given numbers is 2 x 2 x 4 x 19 x 121 = 36784

Least Common Multiple of 16,76,242 with GCF Formula

Least Common Multiple of 16,76,242 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 16,76,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,76,242) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(16,76,242) x common factors =2 x 4 = 8

LCM(16,76,242) = ( 16 × 76 × 242 ) / 8

LCM(16,76,242) = 294272 / 8

LCM(16,76,242) = 36784


Lets's calculate GCF of 320,333,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36784/1

Therefore the LCM of Fractions 16/320,76/333,242/519 is 36784

Greatest Common Factor of 320,333,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,333,519 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 519

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

1,3,173,519

Greatest Common Factor

We found the factors 320,333,519 . The biggest common factor number is the GCF number.
So the greatest common factor 320,333,519 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 16/320, 76/333, 242/519

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 16/320, 76/333, 242/519?

Answer: LCM of Numerators as per given numbers 16/320, 76/333, 242/519 is

LCM of Numerators i.e. for 16,76,242 is 36784

GCF of denominators i.e. for 320,333,519 is 1.

Thus, LCM of Fractions is 36784.Finally, LCM of Fractions for 16/320, 76/333, 242/519 is 36784.