Least Common Multiple of 528/39, 576/38, 195/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/39, 576/38, 195/112 quickly i.e. 411840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/39, 576/38, 195/112 is 411840.

LCM(528/39, 576/38, 195/112) = 411840

LCM of 528/39, 576/38, 195/112

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 528/39,576/38,195/112

Given numbers are 528/39,576/38,195/112

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 528,576,195

Least Common Multiple of Numerators i.e. LCM of 528,576,195 is 411840.

GCF of Denominators means GCF of 39,38,112 as per the given fractions.

GCF of 39,38,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,576,195

LCM of Fractions 528/39,576/38,195/112 is 411840

2 528, 576, 195
2 264, 288, 195
2 132, 144, 195
2 66, 72, 195
3 33, 36, 195
11, 12, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 12 x 65 = 411840

Least Common Multiple of 528,576,195 with GCF Formula

Least Common Multiple of 528,576,195 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 528,576,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,576,195) = 3

common factors(in case of two or more numbers have common factors) = 48

GCF(528,576,195) x common factors =3 x 48 = 144

LCM(528,576,195) = ( 528 × 576 × 195 ) / 144

LCM(528,576,195) = 59304960 / 144

LCM(528,576,195) = 411840


Lets's calculate GCF of 39,38,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411840/1

Therefore the LCM of Fractions 528/39,576/38,195/112 is 411840

Greatest Common Factor of 39,38,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,38,112 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 39,38,112 . The biggest common factor number is the GCF number.
So the greatest common factor 39,38,112 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 528/39, 576/38, 195/112

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 528/39, 576/38, 195/112?

Answer: LCM of Numerators as per given numbers 528/39, 576/38, 195/112 is

LCM of Numerators i.e. for 528,576,195 is 411840

GCF of denominators i.e. for 39,38,112 is 1.

Thus, LCM of Fractions is 411840.Finally, LCM of Fractions for 528/39, 576/38, 195/112 is 411840.