Least Common Multiple of 64/288, 615/315, 262/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/288, 615/315, 262/330 quickly i.e. 1718720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/288, 615/315, 262/330 is 1718720.

LCM(64/288, 615/315, 262/330) = 1718720

LCM of 64/288, 615/315, 262/330

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 64/288,615/315,262/330

Given numbers are 64/288,615/315,262/330

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 64,615,262

Least Common Multiple of Numerators i.e. LCM of 64,615,262 is 5156160.

GCF of Denominators means GCF of 288,315,330 as per the given fractions.

GCF of 288,315,330 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,615,262

LCM of Fractions 64/288,615/315,262/330 is 1718720

2 64, 615, 262
32, 615, 131

∴ So the LCM of the given numbers is 2 x 32 x 615 x 131 = 5156160

Least Common Multiple of 64,615,262 with GCF Formula

Least Common Multiple of 64,615,262 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 64,615,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,615,262) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,615,262) x common factors =1 x 2 = 2

LCM(64,615,262) = ( 64 × 615 × 262 ) / 2

LCM(64,615,262) = 10312320 / 2

LCM(64,615,262) = 5156160


Lets's calculate GCF of 288,315,330

3 288, 315, 330
96, 105, 110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5156160/3

Therefore the LCM of Fractions 64/288,615/315,262/330 is 1718720

Greatest Common Factor of 288,315,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,315,330 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

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 288,315,330 . The biggest common factor number is the GCF number.
So the greatest common factor 288,315,330 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 64/288, 615/315, 262/330

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 64/288, 615/315, 262/330?

Answer: LCM of Numerators as per given numbers 64/288, 615/315, 262/330 is

LCM of Numerators i.e. for 64,615,262 is 5156160

GCF of denominators i.e. for 288,315,330 is 3.

Thus, LCM of Fractions is 1718720.Finally, LCM of Fractions for 64/288, 615/315, 262/330 is 1718720.