Least Common Multiple of 3082/120, 2365/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3082/120, 2365/190 quickly i.e. 728893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3082/120, 2365/190 is 728893.

LCM(3082/120, 2365/190) = 728893

LCM of 3082/120, 2365/190

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 3082/120,2365/190

Given numbers are 3082/120,2365/190

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 3082,2365

Least Common Multiple of Numerators i.e. LCM of 3082,2365 is 7288930.

GCF of Denominators means GCF of 120,190 as per the given fractions.

GCF of 120,190 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3082,2365

LCM of Fractions 3082/120,2365/190 is 728893

Given numbers has no common factors except 1. So, there LCM is their product i.e 7288930

Least Common Multiple of 3082,2365 with GCF Formula

Least Common Multiple of 3082,2365 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 3082,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3082,2365) = 1

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

GCF(3082,2365) x common factors =1 x 1 = 1

LCM(3082,2365) = ( 3082 × 2365 ) / 1

LCM(3082,2365) = 7288930 / 1

LCM(3082,2365) = 7288930


Lets's calculate GCF of 120,190

2 120, 190
5 60, 95
12, 19

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7288930/10

Therefore the LCM of Fractions 3082/120,2365/190 is 728893

Greatest Common Factor of 120,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,190 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 120,190 . The biggest common factor number is the GCF number.
So the greatest common factor 120,190 is 10.


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 3082/120, 2365/190

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 3082/120, 2365/190?

Answer: LCM of Numerators as per given numbers 3082/120, 2365/190 is

LCM of Numerators i.e. for 3082,2365 is 7288930

GCF of denominators i.e. for 120,190 is 10.

Thus, LCM of Fractions is 728893.Finally, LCM of Fractions for 3082/120, 2365/190 is 728893.