Least Common Multiple of 306/390, 605/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/390, 605/680 quickly i.e. 18513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/390, 605/680 is 18513.

LCM(306/390, 605/680) = 18513

LCM of 306/390, 605/680

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 306/390,605/680

Given numbers are 306/390,605/680

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 306,605

Least Common Multiple of Numerators i.e. LCM of 306,605 is 185130.

GCF of Denominators means GCF of 390,680 as per the given fractions.

GCF of 390,680 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,605

LCM of Fractions 306/390,605/680 is 18513

Given numbers has no common factors except 1. So, there LCM is their product i.e 185130

Least Common Multiple of 306,605 with GCF Formula

Least Common Multiple of 306,605 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 306,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,605) = 1

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

GCF(306,605) x common factors =1 x 1 = 1

LCM(306,605) = ( 306 × 605 ) / 1

LCM(306,605) = 185130 / 1

LCM(306,605) = 185130


Lets's calculate GCF of 390,680

2 390, 680
5 195, 340
39, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185130/10

Therefore the LCM of Fractions 306/390,605/680 is 18513

Greatest Common Factor of 390,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,680 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 390,680 . The biggest common factor number is the GCF number.
So the greatest common factor 390,680 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 306/390, 605/680

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 306/390, 605/680?

Answer: LCM of Numerators as per given numbers 306/390, 605/680 is

LCM of Numerators i.e. for 306,605 is 185130

GCF of denominators i.e. for 390,680 is 10.

Thus, LCM of Fractions is 18513.Finally, LCM of Fractions for 306/390, 605/680 is 18513.