Least Common Multiple of 612/75, 975/4311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/75, 975/4311 quickly i.e. 66300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/75, 975/4311 is 66300.

LCM(612/75, 975/4311) = 66300

LCM of 612/75, 975/4311

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 612/75,975/4311

Given numbers are 612/75,975/4311

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 612,975

Least Common Multiple of Numerators i.e. LCM of 612,975 is 198900.

GCF of Denominators means GCF of 75,4311 as per the given fractions.

GCF of 75,4311 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,975

LCM of Fractions 612/75,975/4311 is 66300

3 612, 975
204, 325

∴ So the LCM of the given numbers is 3 x 204 x 325 = 198900

Least Common Multiple of 612,975 with GCF Formula

Least Common Multiple of 612,975 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 612,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,975) = 3

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

GCF(612,975) x common factors =3 x 1 = 3

LCM(612,975) = ( 612 × 975 ) / 3

LCM(612,975) = 596700 / 3

LCM(612,975) = 198900


Lets's calculate GCF of 75,4311

3 75, 4311
25, 1437

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198900/3

Therefore the LCM of Fractions 612/75,975/4311 is 66300

Greatest Common Factor of 75,4311 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,4311 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 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Greatest Common Factor

We found the factors 75,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 75,4311 is 3.


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 612/75, 975/4311

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 612/75, 975/4311?

Answer: LCM of Numerators as per given numbers 612/75, 975/4311 is

LCM of Numerators i.e. for 612,975 is 198900

GCF of denominators i.e. for 75,4311 is 3.

Thus, LCM of Fractions is 66300.Finally, LCM of Fractions for 612/75, 975/4311 is 66300.