Least Common Multiple of 12/33, 24/21, 10/89, 80/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/33, 24/21, 10/89, 80/112 quickly i.e. 240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/33, 24/21, 10/89, 80/112 is 240.

LCM(12/33, 24/21, 10/89, 80/112) = 240

LCM of 12/33, 24/21, 10/89, 80/112

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 12/33,24/21,10/89,80/112

Given numbers are 12/33,24/21,10/89,80/112

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 12,24,10,80

Least Common Multiple of Numerators i.e. LCM of 12,24,10,80 is 240.

GCF of Denominators means GCF of 33,21,89,112 as per the given fractions.

GCF of 33,21,89,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,24,10,80

LCM of Fractions 12/33,24/21,10/89,80/112 is 240

2 12, 24, 10, 80
2 6, 12, 5, 40
2 3, 6, 5, 20
3 3, 3, 5, 10
5 1, 1, 5, 10
1, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 1 x 1 x 2 = 240

Least Common Multiple of 12,24,10,80 with GCF Formula

Least Common Multiple of 12,24,10,80 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 12,24,10,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,24,10,80) = 2

common factors(in case of two or more numbers have common factors) = 480

GCF(12,24,10,80) x common factors =2 x 480 = 960

LCM(12,24,10,80) = ( 12 × 24 × 10 × 80 ) / 960

LCM(12,24,10,80) = 230400 / 960

LCM(12,24,10,80) = 240


Lets's calculate GCF of 33,21,89,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240/1

Therefore the LCM of Fractions 12/33,24/21,10/89,80/112 is 240

Greatest Common Factor of 33,21,89,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,21,89,112 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 33,21,89,112 . The biggest common factor number is the GCF number.
So the greatest common factor 33,21,89,112 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 12/33, 24/21, 10/89, 80/112

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 12/33, 24/21, 10/89, 80/112?

Answer: LCM of Numerators as per given numbers 12/33, 24/21, 10/89, 80/112 is

LCM of Numerators i.e. for 12,24,10,80 is 240

GCF of denominators i.e. for 33,21,89,112 is 1.

Thus, LCM of Fractions is 240.Finally, LCM of Fractions for 12/33, 24/21, 10/89, 80/112 is 240.