Least Common Multiple of 19/58, 20/72, 21/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/58, 20/72, 21/990 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/58, 20/72, 21/990 is 3990.

LCM(19/58, 20/72, 21/990) = 3990

LCM of 19/58, 20/72, 21/990

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 19/58,20/72,21/990

Given numbers are 19/58,20/72,21/990

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 19,20,21

Least Common Multiple of Numerators i.e. LCM of 19,20,21 is 7980.

GCF of Denominators means GCF of 58,72,990 as per the given fractions.

GCF of 58,72,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,20,21

LCM of Fractions 19/58,20/72,21/990 is 3990

Given numbers has no common factors except 1. So, there LCM is their product i.e 7980

Least Common Multiple of 19,20,21 with GCF Formula

Least Common Multiple of 19,20,21 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 19,20,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,20,21) = 1

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

GCF(19,20,21) x common factors =1 x 1 = 1

LCM(19,20,21) = ( 19 × 20 × 21 ) / 1

LCM(19,20,21) = 7980 / 1

LCM(19,20,21) = 7980


Lets's calculate GCF of 58,72,990

2 58, 72, 990
29, 36, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/2

Therefore the LCM of Fractions 19/58,20/72,21/990 is 3990

Greatest Common Factor of 58,72,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,72,990 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 58,72,990 . The biggest common factor number is the GCF number.
So the greatest common factor 58,72,990 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 19/58, 20/72, 21/990

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 19/58, 20/72, 21/990?

Answer: LCM of Numerators as per given numbers 19/58, 20/72, 21/990 is

LCM of Numerators i.e. for 19,20,21 is 7980

GCF of denominators i.e. for 58,72,990 is 2.

Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 19/58, 20/72, 21/990 is 3990.