Least Common Multiple of 8419/220, 8192/3636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8419/220, 8192/3636 quickly i.e. 17242112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8419/220, 8192/3636 is 17242112.

LCM(8419/220, 8192/3636) = 17242112

LCM of 8419/220, 8192/3636

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 8419/220,8192/3636

Given numbers are 8419/220,8192/3636

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 8419,8192

Least Common Multiple of Numerators i.e. LCM of 8419,8192 is 68968448.

GCF of Denominators means GCF of 220,3636 as per the given fractions.

GCF of 220,3636 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8419,8192

LCM of Fractions 8419/220,8192/3636 is 17242112

Given numbers has no common factors except 1. So, there LCM is their product i.e 68968448

Least Common Multiple of 8419,8192 with GCF Formula

Least Common Multiple of 8419,8192 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 8419,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8419,8192) = 1

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

GCF(8419,8192) x common factors =1 x 1 = 1

LCM(8419,8192) = ( 8419 × 8192 ) / 1

LCM(8419,8192) = 68968448 / 1

LCM(8419,8192) = 68968448


Lets's calculate GCF of 220,3636

2 220, 3636
2 110, 1818
55, 909

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68968448/4

Therefore the LCM of Fractions 8419/220,8192/3636 is 17242112

Greatest Common Factor of 220,3636 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,3636 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Greatest Common Factor

We found the factors 220,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 220,3636 is 4.


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 8419/220, 8192/3636

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 8419/220, 8192/3636?

Answer: LCM of Numerators as per given numbers 8419/220, 8192/3636 is

LCM of Numerators i.e. for 8419,8192 is 68968448

GCF of denominators i.e. for 220,3636 is 4.

Thus, LCM of Fractions is 17242112.Finally, LCM of Fractions for 8419/220, 8192/3636 is 17242112.