Least Common Multiple of 23/83, 24/31, 32/45, 75/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/83, 24/31, 32/45, 75/19 quickly i.e. 55200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/83, 24/31, 32/45, 75/19 is 55200.

LCM(23/83, 24/31, 32/45, 75/19) = 55200

LCM of 23/83, 24/31, 32/45, 75/19

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 23/83,24/31,32/45,75/19

Given numbers are 23/83,24/31,32/45,75/19

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 23,24,32,75

Least Common Multiple of Numerators i.e. LCM of 23,24,32,75 is 55200.

GCF of Denominators means GCF of 83,31,45,19 as per the given fractions.

GCF of 83,31,45,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,24,32,75

LCM of Fractions 23/83,24/31,32/45,75/19 is 55200

2 23, 24, 32, 75
2 23, 12, 16, 75
2 23, 6, 8, 75
3 23, 3, 4, 75
23, 1, 4, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 1 x 4 x 25 = 55200

Least Common Multiple of 23,24,32,75 with GCF Formula

Least Common Multiple of 23,24,32,75 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 23,24,32,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,24,32,75) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(23,24,32,75) x common factors =1 x 24 = 24

LCM(23,24,32,75) = ( 23 × 24 × 32 × 75 ) / 24

LCM(23,24,32,75) = 1324800 / 24

LCM(23,24,32,75) = 55200


Lets's calculate GCF of 83,31,45,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55200/1

Therefore the LCM of Fractions 23/83,24/31,32/45,75/19 is 55200

Greatest Common Factor of 83,31,45,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,31,45,19 By Matching Biggest Common Factor Method

Factors of 83

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

1,83

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 83,31,45,19 . The biggest common factor number is the GCF number.
So the greatest common factor 83,31,45,19 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 23/83, 24/31, 32/45, 75/19

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 23/83, 24/31, 32/45, 75/19?

Answer: LCM of Numerators as per given numbers 23/83, 24/31, 32/45, 75/19 is

LCM of Numerators i.e. for 23,24,32,75 is 55200

GCF of denominators i.e. for 83,31,45,19 is 1.

Thus, LCM of Fractions is 55200.Finally, LCM of Fractions for 23/83, 24/31, 32/45, 75/19 is 55200.