Least Common Multiple of 315/320, 2743/9111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/320, 2743/9111 quickly i.e. 864045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/320, 2743/9111 is 864045.

LCM(315/320, 2743/9111) = 864045

LCM of 315/320, 2743/9111

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 315/320,2743/9111

Given numbers are 315/320,2743/9111

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 315,2743

Least Common Multiple of Numerators i.e. LCM of 315,2743 is 864045.

GCF of Denominators means GCF of 320,9111 as per the given fractions.

GCF of 320,9111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,2743

LCM of Fractions 315/320,2743/9111 is 864045

Given numbers has no common factors except 1. So, there LCM is their product i.e 864045

Least Common Multiple of 315,2743 with GCF Formula

Least Common Multiple of 315,2743 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 315,2743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,2743) = 1

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

GCF(315,2743) x common factors =1 x 1 = 1

LCM(315,2743) = ( 315 × 2743 ) / 1

LCM(315,2743) = 864045 / 1

LCM(315,2743) = 864045


Lets's calculate GCF of 320,9111

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864045/1

Therefore the LCM of Fractions 315/320,2743/9111 is 864045

Greatest Common Factor of 320,9111 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,9111 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 9111

List of positive integer factors of 9111 that divides 9111 without a remainder.

1,3,3037,9111

Greatest Common Factor

We found the factors 320,9111 . The biggest common factor number is the GCF number.
So the greatest common factor 320,9111 is 1.


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 315/320, 2743/9111

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 315/320, 2743/9111?

Answer: LCM of Numerators as per given numbers 315/320, 2743/9111 is

LCM of Numerators i.e. for 315,2743 is 864045

GCF of denominators i.e. for 320,9111 is 1.

Thus, LCM of Fractions is 864045.Finally, LCM of Fractions for 315/320, 2743/9111 is 864045.