Least Common Multiple of 3661/410, 6996/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3661/410, 6996/642 quickly i.e. 12806178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3661/410, 6996/642 is 12806178.

LCM(3661/410, 6996/642) = 12806178

LCM of 3661/410, 6996/642

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 3661/410,6996/642

Given numbers are 3661/410,6996/642

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 3661,6996

Least Common Multiple of Numerators i.e. LCM of 3661,6996 is 25612356.

GCF of Denominators means GCF of 410,642 as per the given fractions.

GCF of 410,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3661,6996

LCM of Fractions 3661/410,6996/642 is 12806178

Given numbers has no common factors except 1. So, there LCM is their product i.e 25612356

Least Common Multiple of 3661,6996 with GCF Formula

Least Common Multiple of 3661,6996 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 3661,6996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3661,6996) = 1

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

GCF(3661,6996) x common factors =1 x 1 = 1

LCM(3661,6996) = ( 3661 × 6996 ) / 1

LCM(3661,6996) = 25612356 / 1

LCM(3661,6996) = 25612356


Lets's calculate GCF of 410,642

2 410, 642
205, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25612356/2

Therefore the LCM of Fractions 3661/410,6996/642 is 12806178

Greatest Common Factor of 410,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,642 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 410,642 . The biggest common factor number is the GCF number.
So the greatest common factor 410,642 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 3661/410, 6996/642

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 3661/410, 6996/642?

Answer: LCM of Numerators as per given numbers 3661/410, 6996/642 is

LCM of Numerators i.e. for 3661,6996 is 25612356

GCF of denominators i.e. for 410,642 is 2.

Thus, LCM of Fractions is 12806178.Finally, LCM of Fractions for 3661/410, 6996/642 is 12806178.