Least Common Multiple of 305/363, 9119/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/363, 9119/162 quickly i.e. 2781295/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/363, 9119/162 is 2781295/3.

LCM(305/363, 9119/162) = 2781295/3

LCM of 305/363, 9119/162

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 305/363,9119/162

Given numbers are 305/363,9119/162

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 305,9119

Least Common Multiple of Numerators i.e. LCM of 305,9119 is 2781295.

GCF of Denominators means GCF of 363,162 as per the given fractions.

GCF of 363,162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,9119

LCM of Fractions 305/363,9119/162 is 2781295/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2781295

Least Common Multiple of 305,9119 with GCF Formula

Least Common Multiple of 305,9119 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 305,9119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,9119) = 1

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

GCF(305,9119) x common factors =1 x 1 = 1

LCM(305,9119) = ( 305 × 9119 ) / 1

LCM(305,9119) = 2781295 / 1

LCM(305,9119) = 2781295


Lets's calculate GCF of 363,162

3 363, 162
121, 54

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2781295/3

Therefore the LCM of Fractions 305/363,9119/162 is 2781295/3

Greatest Common Factor of 363,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,162 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 363,162 . The biggest common factor number is the GCF number.
So the greatest common factor 363,162 is 3.


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 305/363, 9119/162

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 305/363, 9119/162?

Answer: LCM of Numerators as per given numbers 305/363, 9119/162 is

LCM of Numerators i.e. for 305,9119 is 2781295

GCF of denominators i.e. for 363,162 is 3.

Thus, LCM of Fractions is 2781295/3.Finally, LCM of Fractions for 305/363, 9119/162 is 2781295/3.