Least Common Multiple of 430/644, 539/481, 628/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/644, 539/481, 628/900 quickly i.e. 72775780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/644, 539/481, 628/900 is 72775780.

LCM(430/644, 539/481, 628/900) = 72775780

LCM of 430/644, 539/481, 628/900

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 430/644,539/481,628/900

Given numbers are 430/644,539/481,628/900

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 430,539,628

Least Common Multiple of Numerators i.e. LCM of 430,539,628 is 72775780.

GCF of Denominators means GCF of 644,481,900 as per the given fractions.

GCF of 644,481,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,539,628

LCM of Fractions 430/644,539/481,628/900 is 72775780

2 430, 539, 628
215, 539, 314

∴ So the LCM of the given numbers is 2 x 215 x 539 x 314 = 72775780

Least Common Multiple of 430,539,628 with GCF Formula

Least Common Multiple of 430,539,628 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 430,539,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,539,628) = 1

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

GCF(430,539,628) x common factors =1 x 2 = 2

LCM(430,539,628) = ( 430 × 539 × 628 ) / 2

LCM(430,539,628) = 145551560 / 2

LCM(430,539,628) = 72775780


Lets's calculate GCF of 644,481,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72775780/1

Therefore the LCM of Fractions 430/644,539/481,628/900 is 72775780

Greatest Common Factor of 644,481,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,481,900 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 644,481,900 . The biggest common factor number is the GCF number.
So the greatest common factor 644,481,900 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 430/644, 539/481, 628/900

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 430/644, 539/481, 628/900?

Answer: LCM of Numerators as per given numbers 430/644, 539/481, 628/900 is

LCM of Numerators i.e. for 430,539,628 is 72775780

GCF of denominators i.e. for 644,481,900 is 1.

Thus, LCM of Fractions is 72775780.Finally, LCM of Fractions for 430/644, 539/481, 628/900 is 72775780.