Least Common Multiple of 506/198, 948/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/198, 948/666 quickly i.e. 239844/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/198, 948/666 is 239844/18.

LCM(506/198, 948/666) = 239844/18

LCM of 506/198, 948/666

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 506/198,948/666

Given numbers are 506/198,948/666

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 506,948

Least Common Multiple of Numerators i.e. LCM of 506,948 is 239844.

GCF of Denominators means GCF of 198,666 as per the given fractions.

GCF of 198,666 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,948

LCM of Fractions 506/198,948/666 is 239844/18

2 506, 948
253, 474

∴ So the LCM of the given numbers is 2 x 253 x 474 = 239844

Least Common Multiple of 506,948 with GCF Formula

Least Common Multiple of 506,948 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 506,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,948) = 2

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

GCF(506,948) x common factors =2 x 1 = 2

LCM(506,948) = ( 506 × 948 ) / 2

LCM(506,948) = 479688 / 2

LCM(506,948) = 239844


Lets's calculate GCF of 198,666

2 198, 666
3 99, 333
3 33, 111
11, 37

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239844/18

Therefore the LCM of Fractions 506/198,948/666 is 239844/18

Greatest Common Factor of 198,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,666 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 198,666 . The biggest common factor number is the GCF number.
So the greatest common factor 198,666 is 18.


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 506/198, 948/666

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 506/198, 948/666?

Answer: LCM of Numerators as per given numbers 506/198, 948/666 is

LCM of Numerators i.e. for 506,948 is 239844

GCF of denominators i.e. for 198,666 is 18.

Thus, LCM of Fractions is 239844/18.Finally, LCM of Fractions for 506/198, 948/666 is 239844/18.