Least Common Multiple of 75/18, 72/23, 40/61, 50/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/18, 72/23, 40/61, 50/76 quickly i.e. 1800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/18, 72/23, 40/61, 50/76 is 1800.

LCM(75/18, 72/23, 40/61, 50/76) = 1800

LCM of 75/18, 72/23, 40/61, 50/76

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 75/18,72/23,40/61,50/76

Given numbers are 75/18,72/23,40/61,50/76

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 75,72,40,50

Least Common Multiple of Numerators i.e. LCM of 75,72,40,50 is 1800.

GCF of Denominators means GCF of 18,23,61,76 as per the given fractions.

GCF of 18,23,61,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,72,40,50

LCM of Fractions 75/18,72/23,40/61,50/76 is 1800

2 75, 72, 40, 50
2 75, 36, 20, 25
2 75, 18, 10, 25
3 75, 9, 5, 25
5 25, 3, 5, 25
5 1, 3, 5, 5
1, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 1 x 3 x 1 x 1 = 1800

Least Common Multiple of 75,72,40,50 with GCF Formula

Least Common Multiple of 75,72,40,50 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 75,72,40,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,72,40,50) = 1

common factors(in case of two or more numbers have common factors) = 6000

GCF(75,72,40,50) x common factors =1 x 6000 = 6000

LCM(75,72,40,50) = ( 75 × 72 × 40 × 50 ) / 6000

LCM(75,72,40,50) = 10800000 / 6000

LCM(75,72,40,50) = 1800


Lets's calculate GCF of 18,23,61,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800/1

Therefore the LCM of Fractions 75/18,72/23,40/61,50/76 is 1800

Greatest Common Factor of 18,23,61,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,23,61,76 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 18,23,61,76 . The biggest common factor number is the GCF number.
So the greatest common factor 18,23,61,76 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 75/18, 72/23, 40/61, 50/76

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 75/18, 72/23, 40/61, 50/76?

Answer: LCM of Numerators as per given numbers 75/18, 72/23, 40/61, 50/76 is

LCM of Numerators i.e. for 75,72,40,50 is 1800

GCF of denominators i.e. for 18,23,61,76 is 1.

Thus, LCM of Fractions is 1800.Finally, LCM of Fractions for 75/18, 72/23, 40/61, 50/76 is 1800.