Least Common Multiple of 7815/284, 7615/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7815/284, 7615/330 quickly i.e. 11902245/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7815/284, 7615/330 is 11902245/2.

LCM(7815/284, 7615/330) = 11902245/2

LCM of 7815/284, 7615/330

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 7815/284,7615/330

Given numbers are 7815/284,7615/330

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 7815,7615

Least Common Multiple of Numerators i.e. LCM of 7815,7615 is 11902245.

GCF of Denominators means GCF of 284,330 as per the given fractions.

GCF of 284,330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7815,7615

LCM of Fractions 7815/284,7615/330 is 11902245/2

5 7815, 7615
1563, 1523

∴ So the LCM of the given numbers is 5 x 1563 x 1523 = 11902245

Least Common Multiple of 7815,7615 with GCF Formula

Least Common Multiple of 7815,7615 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 7815,7615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7815,7615) = 5

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

GCF(7815,7615) x common factors =5 x 1 = 5

LCM(7815,7615) = ( 7815 × 7615 ) / 5

LCM(7815,7615) = 59511225 / 5

LCM(7815,7615) = 11902245


Lets's calculate GCF of 284,330

2 284, 330
142, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11902245/2

Therefore the LCM of Fractions 7815/284,7615/330 is 11902245/2

Greatest Common Factor of 284,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,330 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 284,330 . The biggest common factor number is the GCF number.
So the greatest common factor 284,330 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 7815/284, 7615/330

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 7815/284, 7615/330?

Answer: LCM of Numerators as per given numbers 7815/284, 7615/330 is

LCM of Numerators i.e. for 7815,7615 is 11902245

GCF of denominators i.e. for 284,330 is 2.

Thus, LCM of Fractions is 11902245/2.Finally, LCM of Fractions for 7815/284, 7615/330 is 11902245/2.