Least Common Multiple of 200/655, 6492/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/655, 6492/722 quickly i.e. 324600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/655, 6492/722 is 324600.

LCM(200/655, 6492/722) = 324600

LCM of 200/655, 6492/722

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 200/655,6492/722

Given numbers are 200/655,6492/722

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 200,6492

Least Common Multiple of Numerators i.e. LCM of 200,6492 is 324600.

GCF of Denominators means GCF of 655,722 as per the given fractions.

GCF of 655,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,6492

LCM of Fractions 200/655,6492/722 is 324600

2 200, 6492
2 100, 3246
50, 1623

∴ So the LCM of the given numbers is 2 x 2 x 50 x 1623 = 324600

Least Common Multiple of 200,6492 with GCF Formula

Least Common Multiple of 200,6492 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 200,6492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,6492) = 4

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

GCF(200,6492) x common factors =4 x 1 = 4

LCM(200,6492) = ( 200 × 6492 ) / 4

LCM(200,6492) = 1298400 / 4

LCM(200,6492) = 324600


Lets's calculate GCF of 655,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324600/1

Therefore the LCM of Fractions 200/655,6492/722 is 324600

Greatest Common Factor of 655,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,722 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 655,722 . The biggest common factor number is the GCF number.
So the greatest common factor 655,722 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 200/655, 6492/722

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 200/655, 6492/722?

Answer: LCM of Numerators as per given numbers 200/655, 6492/722 is

LCM of Numerators i.e. for 200,6492 is 324600

GCF of denominators i.e. for 655,722 is 1.

Thus, LCM of Fractions is 324600.Finally, LCM of Fractions for 200/655, 6492/722 is 324600.