Least Common Multiple of 330/66, 884/19, 482/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/66, 884/19, 482/492 quickly i.e. 35152260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/66, 884/19, 482/492 is 35152260.

LCM(330/66, 884/19, 482/492) = 35152260

LCM of 330/66, 884/19, 482/492

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 330/66,884/19,482/492

Given numbers are 330/66,884/19,482/492

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 330,884,482

Least Common Multiple of Numerators i.e. LCM of 330,884,482 is 35152260.

GCF of Denominators means GCF of 66,19,492 as per the given fractions.

GCF of 66,19,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,884,482

LCM of Fractions 330/66,884/19,482/492 is 35152260

2 330, 884, 482
165, 442, 241

∴ So the LCM of the given numbers is 2 x 165 x 442 x 241 = 35152260

Least Common Multiple of 330,884,482 with GCF Formula

Least Common Multiple of 330,884,482 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 330,884,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,884,482) = 2

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

GCF(330,884,482) x common factors =2 x 2 = 4

LCM(330,884,482) = ( 330 × 884 × 482 ) / 4

LCM(330,884,482) = 140609040 / 4

LCM(330,884,482) = 35152260


Lets's calculate GCF of 66,19,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35152260/1

Therefore the LCM of Fractions 330/66,884/19,482/492 is 35152260

Greatest Common Factor of 66,19,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,19,492 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 66,19,492 . The biggest common factor number is the GCF number.
So the greatest common factor 66,19,492 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 330/66, 884/19, 482/492

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 330/66, 884/19, 482/492?

Answer: LCM of Numerators as per given numbers 330/66, 884/19, 482/492 is

LCM of Numerators i.e. for 330,884,482 is 35152260

GCF of denominators i.e. for 66,19,492 is 1.

Thus, LCM of Fractions is 35152260.Finally, LCM of Fractions for 330/66, 884/19, 482/492 is 35152260.