Least Common Multiple of 8/24, 9/46, 14/37, 33/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/24, 9/46, 14/37, 33/872 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/24, 9/46, 14/37, 33/872 is 5544.

LCM(8/24, 9/46, 14/37, 33/872) = 5544

LCM of 8/24, 9/46, 14/37, 33/872

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 8/24,9/46,14/37,33/872

Given numbers are 8/24,9/46,14/37,33/872

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 8,9,14,33

Least Common Multiple of Numerators i.e. LCM of 8,9,14,33 is 5544.

GCF of Denominators means GCF of 24,46,37,872 as per the given fractions.

GCF of 24,46,37,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,9,14,33

LCM of Fractions 8/24,9/46,14/37,33/872 is 5544

2 8, 9, 14, 33
3 4, 9, 7, 33
4, 3, 7, 11

∴ So the LCM of the given numbers is 2 x 3 x 4 x 3 x 7 x 11 = 5544

Least Common Multiple of 8,9,14,33 with GCF Formula

Least Common Multiple of 8,9,14,33 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 8,9,14,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,9,14,33) = 1

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

GCF(8,9,14,33) x common factors =1 x 6 = 6

LCM(8,9,14,33) = ( 8 × 9 × 14 × 33 ) / 6

LCM(8,9,14,33) = 33264 / 6

LCM(8,9,14,33) = 5544


Lets's calculate GCF of 24,46,37,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 8/24,9/46,14/37,33/872 is 5544

Greatest Common Factor of 24,46,37,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,46,37,872 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 24,46,37,872 . The biggest common factor number is the GCF number.
So the greatest common factor 24,46,37,872 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 8/24, 9/46, 14/37, 33/872

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 8/24, 9/46, 14/37, 33/872?

Answer: LCM of Numerators as per given numbers 8/24, 9/46, 14/37, 33/872 is

LCM of Numerators i.e. for 8,9,14,33 is 5544

GCF of denominators i.e. for 24,46,37,872 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 8/24, 9/46, 14/37, 33/872 is 5544.