Least Common Multiple of 326/64, 479/18, 424/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 326/64, 479/18, 424/616 quickly i.e. 16552324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/64, 479/18, 424/616 is 16552324.

LCM(326/64, 479/18, 424/616) = 16552324

LCM of 326/64, 479/18, 424/616

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 326/64,479/18,424/616

Given numbers are 326/64,479/18,424/616

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 326,479,424

Least Common Multiple of Numerators i.e. LCM of 326,479,424 is 33104648.

GCF of Denominators means GCF of 64,18,616 as per the given fractions.

GCF of 64,18,616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,479,424

LCM of Fractions 326/64,479/18,424/616 is 16552324

2 326, 479, 424
163, 479, 212

∴ So the LCM of the given numbers is 2 x 163 x 479 x 212 = 33104648

Least Common Multiple of 326,479,424 with GCF Formula

Least Common Multiple of 326,479,424 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 326,479,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,479,424) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(326,479,424) x common factors =1 x 2 = 2

LCM(326,479,424) = ( 326 × 479 × 424 ) / 2

LCM(326,479,424) = 66209296 / 2

LCM(326,479,424) = 33104648


Lets's calculate GCF of 64,18,616

2 64, 18, 616
32, 9, 308

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33104648/2

Therefore the LCM of Fractions 326/64,479/18,424/616 is 16552324

Greatest Common Factor of 64,18,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,18,616 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 64,18,616 . The biggest common factor number is the GCF number.
So the greatest common factor 64,18,616 is 2.


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 326/64, 479/18, 424/616

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 326/64, 479/18, 424/616?

Answer: LCM of Numerators as per given numbers 326/64, 479/18, 424/616 is

LCM of Numerators i.e. for 326,479,424 is 33104648

GCF of denominators i.e. for 64,18,616 is 2.

Thus, LCM of Fractions is 16552324.Finally, LCM of Fractions for 326/64, 479/18, 424/616 is 16552324.