Least Common Multiple of 19/42, 33/89, 21/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/42, 33/89, 21/398 quickly i.e. 4389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/42, 33/89, 21/398 is 4389.

LCM(19/42, 33/89, 21/398) = 4389

LCM of 19/42, 33/89, 21/398

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 19/42,33/89,21/398

Given numbers are 19/42,33/89,21/398

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 19,33,21

Least Common Multiple of Numerators i.e. LCM of 19,33,21 is 4389.

GCF of Denominators means GCF of 42,89,398 as per the given fractions.

GCF of 42,89,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,33,21

LCM of Fractions 19/42,33/89,21/398 is 4389

3 19, 33, 21
19, 11, 7

∴ So the LCM of the given numbers is 3 x 19 x 11 x 7 = 4389

Least Common Multiple of 19,33,21 with GCF Formula

Least Common Multiple of 19,33,21 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 19,33,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,33,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,33,21) x common factors =1 x 3 = 3

LCM(19,33,21) = ( 19 × 33 × 21 ) / 3

LCM(19,33,21) = 13167 / 3

LCM(19,33,21) = 4389


Lets's calculate GCF of 42,89,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4389/1

Therefore the LCM of Fractions 19/42,33/89,21/398 is 4389

Greatest Common Factor of 42,89,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,89,398 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 42,89,398 . The biggest common factor number is the GCF number.
So the greatest common factor 42,89,398 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 19/42, 33/89, 21/398

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 19/42, 33/89, 21/398?

Answer: LCM of Numerators as per given numbers 19/42, 33/89, 21/398 is

LCM of Numerators i.e. for 19,33,21 is 4389

GCF of denominators i.e. for 42,89,398 is 1.

Thus, LCM of Fractions is 4389.Finally, LCM of Fractions for 19/42, 33/89, 21/398 is 4389.