Least Common Multiple of 96/37, 540/34, 675/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/37, 540/34, 675/307 quickly i.e. 21600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/37, 540/34, 675/307 is 21600.

LCM(96/37, 540/34, 675/307) = 21600

LCM of 96/37, 540/34, 675/307

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 96/37,540/34,675/307

Given numbers are 96/37,540/34,675/307

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 96,540,675

Least Common Multiple of Numerators i.e. LCM of 96,540,675 is 21600.

GCF of Denominators means GCF of 37,34,307 as per the given fractions.

GCF of 37,34,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,540,675

LCM of Fractions 96/37,540/34,675/307 is 21600

2 96, 540, 675
2 48, 270, 675
3 24, 135, 675
3 8, 45, 225
3 8, 15, 75
5 8, 5, 25
8, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 8 x 1 x 5 = 21600

Least Common Multiple of 96,540,675 with GCF Formula

Least Common Multiple of 96,540,675 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 96,540,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,540,675) = 3

common factors(in case of two or more numbers have common factors) = 540

GCF(96,540,675) x common factors =3 x 540 = 1620

LCM(96,540,675) = ( 96 × 540 × 675 ) / 1620

LCM(96,540,675) = 34992000 / 1620

LCM(96,540,675) = 21600


Lets's calculate GCF of 37,34,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21600/1

Therefore the LCM of Fractions 96/37,540/34,675/307 is 21600

Greatest Common Factor of 37,34,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,34,307 By Matching Biggest Common Factor Method

Factors of 37

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

1,37

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 37,34,307 . The biggest common factor number is the GCF number.
So the greatest common factor 37,34,307 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 96/37, 540/34, 675/307

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 96/37, 540/34, 675/307?

Answer: LCM of Numerators as per given numbers 96/37, 540/34, 675/307 is

LCM of Numerators i.e. for 96,540,675 is 21600

GCF of denominators i.e. for 37,34,307 is 1.

Thus, LCM of Fractions is 21600.Finally, LCM of Fractions for 96/37, 540/34, 675/307 is 21600.