Least Common Multiple of 432/468, 975/183, 638/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/468, 975/183, 638/322 quickly i.e. 44787600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/468, 975/183, 638/322 is 44787600.

LCM(432/468, 975/183, 638/322) = 44787600

LCM of 432/468, 975/183, 638/322

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 432/468,975/183,638/322

Given numbers are 432/468,975/183,638/322

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 432,975,638

Least Common Multiple of Numerators i.e. LCM of 432,975,638 is 44787600.

GCF of Denominators means GCF of 468,183,322 as per the given fractions.

GCF of 468,183,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,975,638

LCM of Fractions 432/468,975/183,638/322 is 44787600

2 432, 975, 638
3 216, 975, 319
72, 325, 319

∴ So the LCM of the given numbers is 2 x 3 x 72 x 325 x 319 = 44787600

Least Common Multiple of 432,975,638 with GCF Formula

Least Common Multiple of 432,975,638 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 432,975,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,975,638) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(432,975,638) x common factors =1 x 6 = 6

LCM(432,975,638) = ( 432 × 975 × 638 ) / 6

LCM(432,975,638) = 268725600 / 6

LCM(432,975,638) = 44787600


Lets's calculate GCF of 468,183,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44787600/1

Therefore the LCM of Fractions 432/468,975/183,638/322 is 44787600

Greatest Common Factor of 468,183,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,183,322 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 468,183,322 . The biggest common factor number is the GCF number.
So the greatest common factor 468,183,322 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 432/468, 975/183, 638/322

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 432/468, 975/183, 638/322?

Answer: LCM of Numerators as per given numbers 432/468, 975/183, 638/322 is

LCM of Numerators i.e. for 432,975,638 is 44787600

GCF of denominators i.e. for 468,183,322 is 1.

Thus, LCM of Fractions is 44787600.Finally, LCM of Fractions for 432/468, 975/183, 638/322 is 44787600.