Least Common Multiple of 217/864, 3339/9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/864, 3339/9600 quickly i.e. 103509/96 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/864, 3339/9600 is 103509/96.

LCM(217/864, 3339/9600) = 103509/96

LCM of 217/864, 3339/9600

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 217/864,3339/9600

Given numbers are 217/864,3339/9600

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 217,3339

Least Common Multiple of Numerators i.e. LCM of 217,3339 is 103509.

GCF of Denominators means GCF of 864,9600 as per the given fractions.

GCF of 864,9600 is 96 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,3339

LCM of Fractions 217/864,3339/9600 is 103509/96

7 217, 3339
31, 477

∴ So the LCM of the given numbers is 7 x 31 x 477 = 103509

Least Common Multiple of 217,3339 with GCF Formula

Least Common Multiple of 217,3339 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 217,3339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,3339) = 7

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

GCF(217,3339) x common factors =7 x 1 = 7

LCM(217,3339) = ( 217 × 3339 ) / 7

LCM(217,3339) = 724563 / 7

LCM(217,3339) = 103509


Lets's calculate GCF of 864,9600

2 864, 9600
2 432, 4800
2 216, 2400
2 108, 1200
2 54, 600
3 27, 300
9, 100

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103509/96

Therefore the LCM of Fractions 217/864,3339/9600 is 103509/96

Greatest Common Factor of 864,9600 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,9600 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Greatest Common Factor

We found the factors 864,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 864,9600 is 96.


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 217/864, 3339/9600

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 217/864, 3339/9600?

Answer: LCM of Numerators as per given numbers 217/864, 3339/9600 is

LCM of Numerators i.e. for 217,3339 is 103509

GCF of denominators i.e. for 864,9600 is 96.

Thus, LCM of Fractions is 103509/96.Finally, LCM of Fractions for 217/864, 3339/9600 is 103509/96.