Least Common Multiple of 48/11, 57/285, 135/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/11, 57/285, 135/279 quickly i.e. 41040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/11, 57/285, 135/279 is 41040.

LCM(48/11, 57/285, 135/279) = 41040

LCM of 48/11, 57/285, 135/279

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 48/11,57/285,135/279

Given numbers are 48/11,57/285,135/279

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 48,57,135

Least Common Multiple of Numerators i.e. LCM of 48,57,135 is 41040.

GCF of Denominators means GCF of 11,285,279 as per the given fractions.

GCF of 11,285,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,57,135

LCM of Fractions 48/11,57/285,135/279 is 41040

3 48, 57, 135
16, 19, 45

∴ So the LCM of the given numbers is 3 x 16 x 19 x 45 = 41040

Least Common Multiple of 48,57,135 with GCF Formula

Least Common Multiple of 48,57,135 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 48,57,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,57,135) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(48,57,135) x common factors =3 x 3 = 9

LCM(48,57,135) = ( 48 × 57 × 135 ) / 9

LCM(48,57,135) = 369360 / 9

LCM(48,57,135) = 41040


Lets's calculate GCF of 11,285,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41040/1

Therefore the LCM of Fractions 48/11,57/285,135/279 is 41040

Greatest Common Factor of 11,285,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,285,279 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 11,285,279 . The biggest common factor number is the GCF number.
So the greatest common factor 11,285,279 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 48/11, 57/285, 135/279

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 48/11, 57/285, 135/279?

Answer: LCM of Numerators as per given numbers 48/11, 57/285, 135/279 is

LCM of Numerators i.e. for 48,57,135 is 41040

GCF of denominators i.e. for 11,285,279 is 1.

Thus, LCM of Fractions is 41040.Finally, LCM of Fractions for 48/11, 57/285, 135/279 is 41040.