Least Common Multiple of 320/18, 245/6531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/18, 245/6531 quickly i.e. 15680/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/18, 245/6531 is 15680/3.

LCM(320/18, 245/6531) = 15680/3

LCM of 320/18, 245/6531

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 320/18,245/6531

Given numbers are 320/18,245/6531

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 320,245

Least Common Multiple of Numerators i.e. LCM of 320,245 is 15680.

GCF of Denominators means GCF of 18,6531 as per the given fractions.

GCF of 18,6531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,245

LCM of Fractions 320/18,245/6531 is 15680/3

5 320, 245
64, 49

∴ So the LCM of the given numbers is 5 x 64 x 49 = 15680

Least Common Multiple of 320,245 with GCF Formula

Least Common Multiple of 320,245 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 320,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,245) = 5

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

GCF(320,245) x common factors =5 x 1 = 5

LCM(320,245) = ( 320 × 245 ) / 5

LCM(320,245) = 78400 / 5

LCM(320,245) = 15680


Lets's calculate GCF of 18,6531

3 18, 6531
6, 2177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15680/3

Therefore the LCM of Fractions 320/18,245/6531 is 15680/3

Greatest Common Factor of 18,6531 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,6531 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1,3,7,21,311,933,2177,6531

Greatest Common Factor

We found the factors 18,6531 . The biggest common factor number is the GCF number.
So the greatest common factor 18,6531 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 320/18, 245/6531

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 320/18, 245/6531?

Answer: LCM of Numerators as per given numbers 320/18, 245/6531 is

LCM of Numerators i.e. for 320,245 is 15680

GCF of denominators i.e. for 18,6531 is 3.

Thus, LCM of Fractions is 15680/3.Finally, LCM of Fractions for 320/18, 245/6531 is 15680/3.