Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/608, 8646/9600 quickly i.e. 8646/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/608, 8646/9600 is 8646/32.
LCM(66/608, 8646/9600) = 8646/32
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/608,8646/9600
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 66,8646
Least Common Multiple of Numerators i.e. LCM of 66,8646 is 8646.
GCF of Denominators means GCF of 608,9600 as per the given fractions.
GCF of 608,9600 is 32 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,8646
2 | 66, 8646 |
3 | 33, 4323 |
11 | 11, 1441 |
1, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 131 = 8646
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 66,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,8646) = 66
common factors(in case of two or more numbers have common factors) = 1
GCF(66,8646) x common factors =66 x 1 = 66
LCM(66,8646) = ( 66 × 8646 ) / 66
LCM(66,8646) = 570636 / 66
LCM(66,8646) = 8646
Lets's calculate GCF of 608,9600
2 | 608, 9600 |
2 | 304, 4800 |
2 | 152, 2400 |
2 | 76, 1200 |
2 | 38, 600 |
19, 300 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8646/32
Therefore the LCM of Fractions 66/608,8646/9600 is 8646/32
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
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 608,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 608,9600 is 32.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 66/608, 8646/9600?
Answer: LCM of Numerators as per given numbers 66/608, 8646/9600 is
LCM of Numerators i.e. for 66,8646 is 8646
GCF of denominators i.e. for 608,9600 is 32.
Thus, LCM of Fractions is 8646/32.Finally, LCM of Fractions for 66/608, 8646/9600 is 8646/32.