Least Common Multiple of 20/46, 30/44, 75/43, 24/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/46, 30/44, 75/43, 24/12 quickly i.e. 600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/46, 30/44, 75/43, 24/12 is 600.

LCM(20/46, 30/44, 75/43, 24/12) = 600

LCM of 20/46, 30/44, 75/43, 24/12

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 20/46,30/44,75/43,24/12

Given numbers are 20/46,30/44,75/43,24/12

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 20,30,75,24

Least Common Multiple of Numerators i.e. LCM of 20,30,75,24 is 600.

GCF of Denominators means GCF of 46,44,43,12 as per the given fractions.

GCF of 46,44,43,12 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,30,75,24

LCM of Fractions 20/46,30/44,75/43,24/12 is 600

2 20, 30, 75, 24
2 10, 15, 75, 12
3 5, 15, 75, 6
5 5, 5, 25, 2
1, 1, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 5 x 2 = 600

Least Common Multiple of 20,30,75,24 with GCF Formula

Least Common Multiple of 20,30,75,24 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 20,30,75,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,30,75,24) = 1

common factors(in case of two or more numbers have common factors) = 1800

GCF(20,30,75,24) x common factors =1 x 1800 = 1800

LCM(20,30,75,24) = ( 20 × 30 × 75 × 24 ) / 1800

LCM(20,30,75,24) = 1080000 / 1800

LCM(20,30,75,24) = 600


Lets's calculate GCF of 46,44,43,12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600/1

Therefore the LCM of Fractions 20/46,30/44,75/43,24/12 is 600

Greatest Common Factor of 46,44,43,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,44,43,12 By Matching Biggest Common Factor Method

Factors of 46

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

1,2,23,46

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 46,44,43,12 . The biggest common factor number is the GCF number.
So the greatest common factor 46,44,43,12 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 20/46, 30/44, 75/43, 24/12

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 20/46, 30/44, 75/43, 24/12?

Answer: LCM of Numerators as per given numbers 20/46, 30/44, 75/43, 24/12 is

LCM of Numerators i.e. for 20,30,75,24 is 600

GCF of denominators i.e. for 46,44,43,12 is 1.

Thus, LCM of Fractions is 600.Finally, LCM of Fractions for 20/46, 30/44, 75/43, 24/12 is 600.