Least Common Multiple of 6575/633, 2180/5667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6575/633, 2180/5667 quickly i.e. 2866700/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6575/633, 2180/5667 is 2866700/3.

LCM(6575/633, 2180/5667) = 2866700/3

LCM of 6575/633, 2180/5667

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 6575/633,2180/5667

Given numbers are 6575/633,2180/5667

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 6575,2180

Least Common Multiple of Numerators i.e. LCM of 6575,2180 is 2866700.

GCF of Denominators means GCF of 633,5667 as per the given fractions.

GCF of 633,5667 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6575,2180

LCM of Fractions 6575/633,2180/5667 is 2866700/3

5 6575, 2180
1315, 436

∴ So the LCM of the given numbers is 5 x 1315 x 436 = 2866700

Least Common Multiple of 6575,2180 with GCF Formula

Least Common Multiple of 6575,2180 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 6575,2180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6575,2180) = 5

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

GCF(6575,2180) x common factors =5 x 1 = 5

LCM(6575,2180) = ( 6575 × 2180 ) / 5

LCM(6575,2180) = 14333500 / 5

LCM(6575,2180) = 2866700


Lets's calculate GCF of 633,5667

3 633, 5667
211, 1889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2866700/3

Therefore the LCM of Fractions 6575/633,2180/5667 is 2866700/3

Greatest Common Factor of 633,5667 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,5667 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1,3,1889,5667

Greatest Common Factor

We found the factors 633,5667 . The biggest common factor number is the GCF number.
So the greatest common factor 633,5667 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 6575/633, 2180/5667

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 6575/633, 2180/5667?

Answer: LCM of Numerators as per given numbers 6575/633, 2180/5667 is

LCM of Numerators i.e. for 6575,2180 is 2866700

GCF of denominators i.e. for 633,5667 is 3.

Thus, LCM of Fractions is 2866700/3.Finally, LCM of Fractions for 6575/633, 2180/5667 is 2866700/3.