Least Common Multiple of 362/20, 366/3998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/20, 366/3998 quickly i.e. 33123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/20, 366/3998 is 33123.

LCM(362/20, 366/3998) = 33123

LCM of 362/20, 366/3998

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 362/20,366/3998

Given numbers are 362/20,366/3998

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 362,366

Least Common Multiple of Numerators i.e. LCM of 362,366 is 66246.

GCF of Denominators means GCF of 20,3998 as per the given fractions.

GCF of 20,3998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,366

LCM of Fractions 362/20,366/3998 is 33123

2 362, 366
181, 183

∴ So the LCM of the given numbers is 2 x 181 x 183 = 66246

Least Common Multiple of 362,366 with GCF Formula

Least Common Multiple of 362,366 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 362,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,366) = 2

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

GCF(362,366) x common factors =2 x 1 = 2

LCM(362,366) = ( 362 × 366 ) / 2

LCM(362,366) = 132492 / 2

LCM(362,366) = 66246


Lets's calculate GCF of 20,3998

2 20, 3998
10, 1999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66246/2

Therefore the LCM of Fractions 362/20,366/3998 is 33123

Greatest Common Factor of 20,3998 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,3998 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

Greatest Common Factor

We found the factors 20,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 20,3998 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 362/20, 366/3998

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 362/20, 366/3998?

Answer: LCM of Numerators as per given numbers 362/20, 366/3998 is

LCM of Numerators i.e. for 362,366 is 66246

GCF of denominators i.e. for 20,3998 is 2.

Thus, LCM of Fractions is 33123.Finally, LCM of Fractions for 362/20, 366/3998 is 33123.