Least Common Multiple of 6263/324, 8205/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6263/324, 8205/578 quickly i.e. 51387915/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6263/324, 8205/578 is 51387915/2.

LCM(6263/324, 8205/578) = 51387915/2

LCM of 6263/324, 8205/578

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 6263/324,8205/578

Given numbers are 6263/324,8205/578

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 6263,8205

Least Common Multiple of Numerators i.e. LCM of 6263,8205 is 51387915.

GCF of Denominators means GCF of 324,578 as per the given fractions.

GCF of 324,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6263,8205

LCM of Fractions 6263/324,8205/578 is 51387915/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 51387915

Least Common Multiple of 6263,8205 with GCF Formula

Least Common Multiple of 6263,8205 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 6263,8205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6263,8205) = 1

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

GCF(6263,8205) x common factors =1 x 1 = 1

LCM(6263,8205) = ( 6263 × 8205 ) / 1

LCM(6263,8205) = 51387915 / 1

LCM(6263,8205) = 51387915


Lets's calculate GCF of 324,578

2 324, 578
162, 289

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51387915/2

Therefore the LCM of Fractions 6263/324,8205/578 is 51387915/2

Greatest Common Factor of 324,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,578 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 324,578 . The biggest common factor number is the GCF number.
So the greatest common factor 324,578 is 2.


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 6263/324, 8205/578

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 6263/324, 8205/578?

Answer: LCM of Numerators as per given numbers 6263/324, 8205/578 is

LCM of Numerators i.e. for 6263,8205 is 51387915

GCF of denominators i.e. for 324,578 is 2.

Thus, LCM of Fractions is 51387915/2.Finally, LCM of Fractions for 6263/324, 8205/578 is 51387915/2.