Least Common Multiple of 24/13, 33/28, 48/83, 84/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/13, 33/28, 48/83, 84/955 quickly i.e. 3696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/13, 33/28, 48/83, 84/955 is 3696.

LCM(24/13, 33/28, 48/83, 84/955) = 3696

LCM of 24/13, 33/28, 48/83, 84/955

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 24/13,33/28,48/83,84/955

Given numbers are 24/13,33/28,48/83,84/955

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 24,33,48,84

Least Common Multiple of Numerators i.e. LCM of 24,33,48,84 is 3696.

GCF of Denominators means GCF of 13,28,83,955 as per the given fractions.

GCF of 13,28,83,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,33,48,84

LCM of Fractions 24/13,33/28,48/83,84/955 is 3696

2 24, 33, 48, 84
2 12, 33, 24, 42
2 6, 33, 12, 21
3 3, 33, 6, 21
1, 11, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 11 x 2 x 7 = 3696

Least Common Multiple of 24,33,48,84 with GCF Formula

Least Common Multiple of 24,33,48,84 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 24,33,48,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,33,48,84) = 3

common factors(in case of two or more numbers have common factors) = 288

GCF(24,33,48,84) x common factors =3 x 288 = 864

LCM(24,33,48,84) = ( 24 × 33 × 48 × 84 ) / 864

LCM(24,33,48,84) = 3193344 / 864

LCM(24,33,48,84) = 3696


Lets's calculate GCF of 13,28,83,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3696/1

Therefore the LCM of Fractions 24/13,33/28,48/83,84/955 is 3696

Greatest Common Factor of 13,28,83,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,28,83,955 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 13,28,83,955 . The biggest common factor number is the GCF number.
So the greatest common factor 13,28,83,955 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 24/13, 33/28, 48/83, 84/955

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 24/13, 33/28, 48/83, 84/955?

Answer: LCM of Numerators as per given numbers 24/13, 33/28, 48/83, 84/955 is

LCM of Numerators i.e. for 24,33,48,84 is 3696

GCF of denominators i.e. for 13,28,83,955 is 1.

Thus, LCM of Fractions is 3696.Finally, LCM of Fractions for 24/13, 33/28, 48/83, 84/955 is 3696.