Least Common Multiple of 3205/246, 1997/6920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3205/246, 1997/6920 quickly i.e. 6400385/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3205/246, 1997/6920 is 6400385/2.

LCM(3205/246, 1997/6920) = 6400385/2

LCM of 3205/246, 1997/6920

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 3205/246,1997/6920

Given numbers are 3205/246,1997/6920

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 3205,1997

Least Common Multiple of Numerators i.e. LCM of 3205,1997 is 6400385.

GCF of Denominators means GCF of 246,6920 as per the given fractions.

GCF of 246,6920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3205,1997

LCM of Fractions 3205/246,1997/6920 is 6400385/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 6400385

Least Common Multiple of 3205,1997 with GCF Formula

Least Common Multiple of 3205,1997 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 3205,1997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3205,1997) = 1

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

GCF(3205,1997) x common factors =1 x 1 = 1

LCM(3205,1997) = ( 3205 × 1997 ) / 1

LCM(3205,1997) = 6400385 / 1

LCM(3205,1997) = 6400385


Lets's calculate GCF of 246,6920

2 246, 6920
123, 3460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6400385/2

Therefore the LCM of Fractions 3205/246,1997/6920 is 6400385/2

Greatest Common Factor of 246,6920 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,6920 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Greatest Common Factor

We found the factors 246,6920 . The biggest common factor number is the GCF number.
So the greatest common factor 246,6920 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 3205/246, 1997/6920

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 3205/246, 1997/6920?

Answer: LCM of Numerators as per given numbers 3205/246, 1997/6920 is

LCM of Numerators i.e. for 3205,1997 is 6400385

GCF of denominators i.e. for 246,6920 is 2.

Thus, LCM of Fractions is 6400385/2.Finally, LCM of Fractions for 3205/246, 1997/6920 is 6400385/2.