Least Common Multiple of 12/90, 685/48, 119/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/90, 685/48, 119/909 quickly i.e. 326060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/90, 685/48, 119/909 is 326060.

LCM(12/90, 685/48, 119/909) = 326060

LCM of 12/90, 685/48, 119/909

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 12/90,685/48,119/909

Given numbers are 12/90,685/48,119/909

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 12,685,119

Least Common Multiple of Numerators i.e. LCM of 12,685,119 is 978180.

GCF of Denominators means GCF of 90,48,909 as per the given fractions.

GCF of 90,48,909 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,685,119

LCM of Fractions 12/90,685/48,119/909 is 326060

Given numbers has no common factors except 1. So, there LCM is their product i.e 978180

Least Common Multiple of 12,685,119 with GCF Formula

Least Common Multiple of 12,685,119 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 12,685,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,685,119) = 1

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

GCF(12,685,119) x common factors =1 x 1 = 1

LCM(12,685,119) = ( 12 × 685 × 119 ) / 1

LCM(12,685,119) = 978180 / 1

LCM(12,685,119) = 978180


Lets's calculate GCF of 90,48,909

3 90, 48, 909
30, 16, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 978180/3

Therefore the LCM of Fractions 12/90,685/48,119/909 is 326060

Greatest Common Factor of 90,48,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,48,909 By Matching Biggest Common Factor Method

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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 90,48,909 . The biggest common factor number is the GCF number.
So the greatest common factor 90,48,909 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 12/90, 685/48, 119/909

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 12/90, 685/48, 119/909?

Answer: LCM of Numerators as per given numbers 12/90, 685/48, 119/909 is

LCM of Numerators i.e. for 12,685,119 is 978180

GCF of denominators i.e. for 90,48,909 is 3.

Thus, LCM of Fractions is 326060.Finally, LCM of Fractions for 12/90, 685/48, 119/909 is 326060.