Least Common Multiple of 135/219, 183/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/219, 183/948 quickly i.e. 2745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/219, 183/948 is 2745.

LCM(135/219, 183/948) = 2745

LCM of 135/219, 183/948

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 135/219,183/948

Given numbers are 135/219,183/948

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 135,183

Least Common Multiple of Numerators i.e. LCM of 135,183 is 8235.

GCF of Denominators means GCF of 219,948 as per the given fractions.

GCF of 219,948 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,183

LCM of Fractions 135/219,183/948 is 2745

3 135, 183
45, 61

∴ So the LCM of the given numbers is 3 x 45 x 61 = 8235

Least Common Multiple of 135,183 with GCF Formula

Least Common Multiple of 135,183 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 135,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,183) = 3

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

GCF(135,183) x common factors =3 x 1 = 3

LCM(135,183) = ( 135 × 183 ) / 3

LCM(135,183) = 24705 / 3

LCM(135,183) = 8235


Lets's calculate GCF of 219,948

3 219, 948
73, 316

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8235/3

Therefore the LCM of Fractions 135/219,183/948 is 2745

Greatest Common Factor of 219,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,948 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 219,948 . The biggest common factor number is the GCF number.
So the greatest common factor 219,948 is 3.


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 135/219, 183/948

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 135/219, 183/948?

Answer: LCM of Numerators as per given numbers 135/219, 183/948 is

LCM of Numerators i.e. for 135,183 is 8235

GCF of denominators i.e. for 219,948 is 3.

Thus, LCM of Fractions is 2745.Finally, LCM of Fractions for 135/219, 183/948 is 2745.