Least Common Multiple of 1306/142, 6865/2320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1306/142, 6865/2320 quickly i.e. 4482845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1306/142, 6865/2320 is 4482845.

LCM(1306/142, 6865/2320) = 4482845

LCM of 1306/142, 6865/2320

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 1306/142,6865/2320

Given numbers are 1306/142,6865/2320

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 1306,6865

Least Common Multiple of Numerators i.e. LCM of 1306,6865 is 8965690.

GCF of Denominators means GCF of 142,2320 as per the given fractions.

GCF of 142,2320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1306,6865

LCM of Fractions 1306/142,6865/2320 is 4482845

Given numbers has no common factors except 1. So, there LCM is their product i.e 8965690

Least Common Multiple of 1306,6865 with GCF Formula

Least Common Multiple of 1306,6865 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 1306,6865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1306,6865) = 1

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

GCF(1306,6865) x common factors =1 x 1 = 1

LCM(1306,6865) = ( 1306 × 6865 ) / 1

LCM(1306,6865) = 8965690 / 1

LCM(1306,6865) = 8965690


Lets's calculate GCF of 142,2320

2 142, 2320
71, 1160

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8965690/2

Therefore the LCM of Fractions 1306/142,6865/2320 is 4482845

Greatest Common Factor of 142,2320 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,2320 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors 142,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 142,2320 is 2.


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 1306/142, 6865/2320

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 1306/142, 6865/2320?

Answer: LCM of Numerators as per given numbers 1306/142, 6865/2320 is

LCM of Numerators i.e. for 1306,6865 is 8965690

GCF of denominators i.e. for 142,2320 is 2.

Thus, LCM of Fractions is 4482845.Finally, LCM of Fractions for 1306/142, 6865/2320 is 4482845.