Least Common Multiple of 165/18, 385/90, 486/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/18, 385/90, 486/804 quickly i.e. 31185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/18, 385/90, 486/804 is 31185.

LCM(165/18, 385/90, 486/804) = 31185

LCM of 165/18, 385/90, 486/804

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 165/18,385/90,486/804

Given numbers are 165/18,385/90,486/804

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 165,385,486

Least Common Multiple of Numerators i.e. LCM of 165,385,486 is 187110.

GCF of Denominators means GCF of 18,90,804 as per the given fractions.

GCF of 18,90,804 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,385,486

LCM of Fractions 165/18,385/90,486/804 is 31185

3 165, 385, 486
5 55, 385, 162
11 11, 77, 162
1, 7, 162

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 7 x 162 = 187110

Least Common Multiple of 165,385,486 with GCF Formula

Least Common Multiple of 165,385,486 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 165,385,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,385,486) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(165,385,486) x common factors =1 x 165 = 165

LCM(165,385,486) = ( 165 × 385 × 486 ) / 165

LCM(165,385,486) = 30873150 / 165

LCM(165,385,486) = 187110


Lets's calculate GCF of 18,90,804

2 18, 90, 804
3 9, 45, 402
3, 15, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187110/6

Therefore the LCM of Fractions 165/18,385/90,486/804 is 31185

Greatest Common Factor of 18,90,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,90,804 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 18,90,804 . The biggest common factor number is the GCF number.
So the greatest common factor 18,90,804 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 165/18, 385/90, 486/804

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 165/18, 385/90, 486/804?

Answer: LCM of Numerators as per given numbers 165/18, 385/90, 486/804 is

LCM of Numerators i.e. for 165,385,486 is 187110

GCF of denominators i.e. for 18,90,804 is 6.

Thus, LCM of Fractions is 31185.Finally, LCM of Fractions for 165/18, 385/90, 486/804 is 31185.