Least Common Multiple of 71/75, 99/83, 94/57, 37/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/75, 99/83, 94/57, 37/768 quickly i.e. 24446862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/75, 99/83, 94/57, 37/768 is 24446862.

LCM(71/75, 99/83, 94/57, 37/768) = 24446862

LCM of 71/75, 99/83, 94/57, 37/768

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 71/75,99/83,94/57,37/768

Given numbers are 71/75,99/83,94/57,37/768

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 71,99,94,37

Least Common Multiple of Numerators i.e. LCM of 71,99,94,37 is 24446862.

GCF of Denominators means GCF of 75,83,57,768 as per the given fractions.

GCF of 75,83,57,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,99,94,37

LCM of Fractions 71/75,99/83,94/57,37/768 is 24446862

Given numbers has no common factors except 1. So, there LCM is their product i.e 24446862

Least Common Multiple of 71,99,94,37 with GCF Formula

Least Common Multiple of 71,99,94,37 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 71,99,94,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,99,94,37) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,99,94,37) x common factors =1 x 1 = 1

LCM(71,99,94,37) = ( 71 × 99 × 94 × 37 ) / 1

LCM(71,99,94,37) = 24446862 / 1

LCM(71,99,94,37) = 24446862


Lets's calculate GCF of 75,83,57,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24446862/1

Therefore the LCM of Fractions 71/75,99/83,94/57,37/768 is 24446862

Greatest Common Factor of 75,83,57,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,83,57,768 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 83

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

1,83

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 75,83,57,768 . The biggest common factor number is the GCF number.
So the greatest common factor 75,83,57,768 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 71/75, 99/83, 94/57, 37/768

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 71/75, 99/83, 94/57, 37/768?

Answer: LCM of Numerators as per given numbers 71/75, 99/83, 94/57, 37/768 is

LCM of Numerators i.e. for 71,99,94,37 is 24446862

GCF of denominators i.e. for 75,83,57,768 is 1.

Thus, LCM of Fractions is 24446862.Finally, LCM of Fractions for 71/75, 99/83, 94/57, 37/768 is 24446862.