Least Common Multiple of 644/634, 230/623, 225/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/634, 230/623, 225/944 quickly i.e. 144900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/634, 230/623, 225/944 is 144900.

LCM(644/634, 230/623, 225/944) = 144900

LCM of 644/634, 230/623, 225/944

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 644/634,230/623,225/944

Given numbers are 644/634,230/623,225/944

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 644,230,225

Least Common Multiple of Numerators i.e. LCM of 644,230,225 is 144900.

GCF of Denominators means GCF of 634,623,944 as per the given fractions.

GCF of 634,623,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,230,225

LCM of Fractions 644/634,230/623,225/944 is 144900

2 644, 230, 225
5 322, 115, 225
23 322, 23, 45
14, 1, 45

∴ So the LCM of the given numbers is 2 x 5 x 23 x 14 x 1 x 45 = 144900

Least Common Multiple of 644,230,225 with GCF Formula

Least Common Multiple of 644,230,225 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 644,230,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,230,225) = 1

common factors(in case of two or more numbers have common factors) = 230

GCF(644,230,225) x common factors =1 x 230 = 230

LCM(644,230,225) = ( 644 × 230 × 225 ) / 230

LCM(644,230,225) = 33327000 / 230

LCM(644,230,225) = 144900


Lets's calculate GCF of 634,623,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144900/1

Therefore the LCM of Fractions 644/634,230/623,225/944 is 144900

Greatest Common Factor of 634,623,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,623,944 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 634,623,944 . The biggest common factor number is the GCF number.
So the greatest common factor 634,623,944 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 644/634, 230/623, 225/944

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 644/634, 230/623, 225/944?

Answer: LCM of Numerators as per given numbers 644/634, 230/623, 225/944 is

LCM of Numerators i.e. for 644,230,225 is 144900

GCF of denominators i.e. for 634,623,944 is 1.

Thus, LCM of Fractions is 144900.Finally, LCM of Fractions for 644/634, 230/623, 225/944 is 144900.