Least Common Multiple of 638/72, 576/6316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 638/72, 576/6316 quickly i.e. 45936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/72, 576/6316 is 45936.

LCM(638/72, 576/6316) = 45936

LCM of 638/72, 576/6316

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 638/72,576/6316

Given numbers are 638/72,576/6316

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 638,576

Least Common Multiple of Numerators i.e. LCM of 638,576 is 183744.

GCF of Denominators means GCF of 72,6316 as per the given fractions.

GCF of 72,6316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,576

LCM of Fractions 638/72,576/6316 is 45936

2 638, 576
319, 288

∴ So the LCM of the given numbers is 2 x 319 x 288 = 183744

Least Common Multiple of 638,576 with GCF Formula

Least Common Multiple of 638,576 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 638,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,576) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(638,576) x common factors =2 x 1 = 2

LCM(638,576) = ( 638 × 576 ) / 2

LCM(638,576) = 367488 / 2

LCM(638,576) = 183744


Lets's calculate GCF of 72,6316

2 72, 6316
2 36, 3158
18, 1579

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183744/4

Therefore the LCM of Fractions 638/72,576/6316 is 45936

Greatest Common Factor of 72,6316 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,6316 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1,2,4,1579,3158,6316

Greatest Common Factor

We found the factors 72,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6316 is 4.


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 638/72, 576/6316

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 638/72, 576/6316?

Answer: LCM of Numerators as per given numbers 638/72, 576/6316 is

LCM of Numerators i.e. for 638,576 is 183744

GCF of denominators i.e. for 72,6316 is 4.

Thus, LCM of Fractions is 45936.Finally, LCM of Fractions for 638/72, 576/6316 is 45936.