Least Common Multiple of 330/646, 5090/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/646, 5090/368 quickly i.e. 83985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/646, 5090/368 is 83985.

LCM(330/646, 5090/368) = 83985

LCM of 330/646, 5090/368

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 330/646,5090/368

Given numbers are 330/646,5090/368

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 330,5090

Least Common Multiple of Numerators i.e. LCM of 330,5090 is 167970.

GCF of Denominators means GCF of 646,368 as per the given fractions.

GCF of 646,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,5090

LCM of Fractions 330/646,5090/368 is 83985

2 330, 5090
5 165, 2545
33, 509

∴ So the LCM of the given numbers is 2 x 5 x 33 x 509 = 167970

Least Common Multiple of 330,5090 with GCF Formula

Least Common Multiple of 330,5090 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 330,5090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,5090) = 10

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

GCF(330,5090) x common factors =10 x 1 = 10

LCM(330,5090) = ( 330 × 5090 ) / 10

LCM(330,5090) = 1679700 / 10

LCM(330,5090) = 167970


Lets's calculate GCF of 646,368

2 646, 368
323, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167970/2

Therefore the LCM of Fractions 330/646,5090/368 is 83985

Greatest Common Factor of 646,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,368 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 646,368 . The biggest common factor number is the GCF number.
So the greatest common factor 646,368 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 330/646, 5090/368

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 330/646, 5090/368?

Answer: LCM of Numerators as per given numbers 330/646, 5090/368 is

LCM of Numerators i.e. for 330,5090 is 167970

GCF of denominators i.e. for 646,368 is 2.

Thus, LCM of Fractions is 83985.Finally, LCM of Fractions for 330/646, 5090/368 is 83985.