Least Common Multiple of 24/48, 30/84, 198/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/48, 30/84, 198/132 quickly i.e. 330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/48, 30/84, 198/132 is 330.

LCM(24/48, 30/84, 198/132) = 330

LCM of 24/48, 30/84, 198/132

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 24/48,30/84,198/132

Given numbers are 24/48,30/84,198/132

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 24,30,198

Least Common Multiple of Numerators i.e. LCM of 24,30,198 is 3960.

GCF of Denominators means GCF of 48,84,132 as per the given fractions.

GCF of 48,84,132 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,30,198

LCM of Fractions 24/48,30/84,198/132 is 330

2 24, 30, 198
3 12, 15, 99
4, 5, 33

∴ So the LCM of the given numbers is 2 x 3 x 4 x 5 x 33 = 3960

Least Common Multiple of 24,30,198 with GCF Formula

Least Common Multiple of 24,30,198 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 24,30,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,30,198) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(24,30,198) x common factors =6 x 6 = 36

LCM(24,30,198) = ( 24 × 30 × 198 ) / 36

LCM(24,30,198) = 142560 / 36

LCM(24,30,198) = 3960


Lets's calculate GCF of 48,84,132

2 48, 84, 132
2 24, 42, 66
3 12, 21, 33
4, 7, 11

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960/12

Therefore the LCM of Fractions 24/48,30/84,198/132 is 330

Greatest Common Factor of 48,84,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,84,132 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 48,84,132 . The biggest common factor number is the GCF number.
So the greatest common factor 48,84,132 is 12.


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 24/48, 30/84, 198/132

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 24/48, 30/84, 198/132?

Answer: LCM of Numerators as per given numbers 24/48, 30/84, 198/132 is

LCM of Numerators i.e. for 24,30,198 is 3960

GCF of denominators i.e. for 48,84,132 is 12.

Thus, LCM of Fractions is 330.Finally, LCM of Fractions for 24/48, 30/84, 198/132 is 330.