Least Common Multiple of 432/813, 299/444, 952/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/813, 299/444, 952/483 quickly i.e. 5123664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/813, 299/444, 952/483 is 5123664.

LCM(432/813, 299/444, 952/483) = 5123664

LCM of 432/813, 299/444, 952/483

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 432/813,299/444,952/483

Given numbers are 432/813,299/444,952/483

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 432,299,952

Least Common Multiple of Numerators i.e. LCM of 432,299,952 is 15370992.

GCF of Denominators means GCF of 813,444,483 as per the given fractions.

GCF of 813,444,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,299,952

LCM of Fractions 432/813,299/444,952/483 is 5123664

2 432, 299, 952
2 216, 299, 476
2 108, 299, 238
54, 299, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 54 x 299 x 119 = 15370992

Least Common Multiple of 432,299,952 with GCF Formula

Least Common Multiple of 432,299,952 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 432,299,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,299,952) = 1

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

GCF(432,299,952) x common factors =1 x 8 = 8

LCM(432,299,952) = ( 432 × 299 × 952 ) / 8

LCM(432,299,952) = 122967936 / 8

LCM(432,299,952) = 15370992


Lets's calculate GCF of 813,444,483

3 813, 444, 483
271, 148, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15370992/3

Therefore the LCM of Fractions 432/813,299/444,952/483 is 5123664

Greatest Common Factor of 813,444,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,444,483 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 813,444,483 . The biggest common factor number is the GCF number.
So the greatest common factor 813,444,483 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 432/813, 299/444, 952/483

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 432/813, 299/444, 952/483?

Answer: LCM of Numerators as per given numbers 432/813, 299/444, 952/483 is

LCM of Numerators i.e. for 432,299,952 is 15370992

GCF of denominators i.e. for 813,444,483 is 3.

Thus, LCM of Fractions is 5123664.Finally, LCM of Fractions for 432/813, 299/444, 952/483 is 5123664.