Least Common Multiple of 20/361, 42/975, 446/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/361, 42/975, 446/444 quickly i.e. 93660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/361, 42/975, 446/444 is 93660.

LCM(20/361, 42/975, 446/444) = 93660

LCM of 20/361, 42/975, 446/444

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 20/361,42/975,446/444

Given numbers are 20/361,42/975,446/444

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 20,42,446

Least Common Multiple of Numerators i.e. LCM of 20,42,446 is 93660.

GCF of Denominators means GCF of 361,975,444 as per the given fractions.

GCF of 361,975,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,42,446

LCM of Fractions 20/361,42/975,446/444 is 93660

2 20, 42, 446
10, 21, 223

∴ So the LCM of the given numbers is 2 x 10 x 21 x 223 = 93660

Least Common Multiple of 20,42,446 with GCF Formula

Least Common Multiple of 20,42,446 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 20,42,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,42,446) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(20,42,446) x common factors =2 x 2 = 4

LCM(20,42,446) = ( 20 × 42 × 446 ) / 4

LCM(20,42,446) = 374640 / 4

LCM(20,42,446) = 93660


Lets's calculate GCF of 361,975,444

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93660/1

Therefore the LCM of Fractions 20/361,42/975,446/444 is 93660

Greatest Common Factor of 361,975,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,975,444 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 361,975,444 . The biggest common factor number is the GCF number.
So the greatest common factor 361,975,444 is 1.


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 20/361, 42/975, 446/444

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 20/361, 42/975, 446/444?

Answer: LCM of Numerators as per given numbers 20/361, 42/975, 446/444 is

LCM of Numerators i.e. for 20,42,446 is 93660

GCF of denominators i.e. for 361,975,444 is 1.

Thus, LCM of Fractions is 93660.Finally, LCM of Fractions for 20/361, 42/975, 446/444 is 93660.