Least Common Multiple of 813/42, 369/54, 330/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/42, 369/54, 330/234 quickly i.e. 1833315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/42, 369/54, 330/234 is 1833315.

LCM(813/42, 369/54, 330/234) = 1833315

LCM of 813/42, 369/54, 330/234

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 813/42,369/54,330/234

Given numbers are 813/42,369/54,330/234

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 813,369,330

Least Common Multiple of Numerators i.e. LCM of 813,369,330 is 10999890.

GCF of Denominators means GCF of 42,54,234 as per the given fractions.

GCF of 42,54,234 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,369,330

LCM of Fractions 813/42,369/54,330/234 is 1833315

3 813, 369, 330
271, 123, 110

∴ So the LCM of the given numbers is 3 x 271 x 123 x 110 = 10999890

Least Common Multiple of 813,369,330 with GCF Formula

Least Common Multiple of 813,369,330 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 813,369,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,369,330) = 3

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

GCF(813,369,330) x common factors =3 x 3 = 9

LCM(813,369,330) = ( 813 × 369 × 330 ) / 9

LCM(813,369,330) = 98999010 / 9

LCM(813,369,330) = 10999890


Lets's calculate GCF of 42,54,234

2 42, 54, 234
3 21, 27, 117
7, 9, 39

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10999890/6

Therefore the LCM of Fractions 813/42,369/54,330/234 is 1833315

Greatest Common Factor of 42,54,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,54,234 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 42,54,234 . The biggest common factor number is the GCF number.
So the greatest common factor 42,54,234 is 6.


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 813/42, 369/54, 330/234

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 813/42, 369/54, 330/234?

Answer: LCM of Numerators as per given numbers 813/42, 369/54, 330/234 is

LCM of Numerators i.e. for 813,369,330 is 10999890

GCF of denominators i.e. for 42,54,234 is 6.

Thus, LCM of Fractions is 1833315.Finally, LCM of Fractions for 813/42, 369/54, 330/234 is 1833315.