Least Common Multiple of 990/819, 357/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 990/819, 357/168 quickly i.e. 5610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/819, 357/168 is 5610.

LCM(990/819, 357/168) = 5610

LCM of 990/819, 357/168

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 990/819,357/168

Given numbers are 990/819,357/168

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 990,357

Least Common Multiple of Numerators i.e. LCM of 990,357 is 117810.

GCF of Denominators means GCF of 819,168 as per the given fractions.

GCF of 819,168 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,357

LCM of Fractions 990/819,357/168 is 5610

3 990, 357
330, 119

∴ So the LCM of the given numbers is 3 x 330 x 119 = 117810

Least Common Multiple of 990,357 with GCF Formula

Least Common Multiple of 990,357 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 990,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,357) = 3

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

GCF(990,357) x common factors =3 x 1 = 3

LCM(990,357) = ( 990 × 357 ) / 3

LCM(990,357) = 353430 / 3

LCM(990,357) = 117810


Lets's calculate GCF of 819,168

3 819, 168
7 273, 56
39, 8

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117810/21

Therefore the LCM of Fractions 990/819,357/168 is 5610

Greatest Common Factor of 819,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,168 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 819,168 . The biggest common factor number is the GCF number.
So the greatest common factor 819,168 is 21.


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 990/819, 357/168

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 990/819, 357/168?

Answer: LCM of Numerators as per given numbers 990/819, 357/168 is

LCM of Numerators i.e. for 990,357 is 117810

GCF of denominators i.e. for 819,168 is 21.

Thus, LCM of Fractions is 5610.Finally, LCM of Fractions for 990/819, 357/168 is 5610.