Least Common Multiple of 4575/75, 6717/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4575/75, 6717/805 quickly i.e. 2048685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4575/75, 6717/805 is 2048685.

LCM(4575/75, 6717/805) = 2048685

LCM of 4575/75, 6717/805

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 4575/75,6717/805

Given numbers are 4575/75,6717/805

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 4575,6717

Least Common Multiple of Numerators i.e. LCM of 4575,6717 is 10243425.

GCF of Denominators means GCF of 75,805 as per the given fractions.

GCF of 75,805 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4575,6717

LCM of Fractions 4575/75,6717/805 is 2048685

3 4575, 6717
1525, 2239

∴ So the LCM of the given numbers is 3 x 1525 x 2239 = 10243425

Least Common Multiple of 4575,6717 with GCF Formula

Least Common Multiple of 4575,6717 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 4575,6717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4575,6717) = 3

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

GCF(4575,6717) x common factors =3 x 1 = 3

LCM(4575,6717) = ( 4575 × 6717 ) / 3

LCM(4575,6717) = 30730275 / 3

LCM(4575,6717) = 10243425


Lets's calculate GCF of 75,805

5 75, 805
15, 161

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10243425/5

Therefore the LCM of Fractions 4575/75,6717/805 is 2048685

Greatest Common Factor of 75,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,805 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 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 75,805 . The biggest common factor number is the GCF number.
So the greatest common factor 75,805 is 5.


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 4575/75, 6717/805

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 4575/75, 6717/805?

Answer: LCM of Numerators as per given numbers 4575/75, 6717/805 is

LCM of Numerators i.e. for 4575,6717 is 10243425

GCF of denominators i.e. for 75,805 is 5.

Thus, LCM of Fractions is 2048685.Finally, LCM of Fractions for 4575/75, 6717/805 is 2048685.