Least Common Multiple of 8515/414, 9036/9307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8515/414, 9036/9307 quickly i.e. 76941540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8515/414, 9036/9307 is 76941540.

LCM(8515/414, 9036/9307) = 76941540

LCM of 8515/414, 9036/9307

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 8515/414,9036/9307

Given numbers are 8515/414,9036/9307

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 8515,9036

Least Common Multiple of Numerators i.e. LCM of 8515,9036 is 76941540.

GCF of Denominators means GCF of 414,9307 as per the given fractions.

GCF of 414,9307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8515,9036

LCM of Fractions 8515/414,9036/9307 is 76941540

Given numbers has no common factors except 1. So, there LCM is their product i.e 76941540

Least Common Multiple of 8515,9036 with GCF Formula

Least Common Multiple of 8515,9036 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 8515,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8515,9036) = 1

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

GCF(8515,9036) x common factors =1 x 1 = 1

LCM(8515,9036) = ( 8515 × 9036 ) / 1

LCM(8515,9036) = 76941540 / 1

LCM(8515,9036) = 76941540


Lets's calculate GCF of 414,9307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76941540/1

Therefore the LCM of Fractions 8515/414,9036/9307 is 76941540

Greatest Common Factor of 414,9307 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,9307 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 9307

List of positive integer factors of 9307 that divides 9307 without a remainder.

1,41,227,9307

Greatest Common Factor

We found the factors 414,9307 . The biggest common factor number is the GCF number.
So the greatest common factor 414,9307 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 8515/414, 9036/9307

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 8515/414, 9036/9307?

Answer: LCM of Numerators as per given numbers 8515/414, 9036/9307 is

LCM of Numerators i.e. for 8515,9036 is 76941540

GCF of denominators i.e. for 414,9307 is 1.

Thus, LCM of Fractions is 76941540.Finally, LCM of Fractions for 8515/414, 9036/9307 is 76941540.