Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/408, 9614/6138 quickly i.e. 153824/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/408, 9614/6138 is 153824/6.
LCM(32/408, 9614/6138) = 153824/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/408,9614/6138
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 32,9614
Least Common Multiple of Numerators i.e. LCM of 32,9614 is 153824.
GCF of Denominators means GCF of 408,6138 as per the given fractions.
GCF of 408,6138 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,9614
2 | 32, 9614 |
16, 4807 |
∴ So the LCM of the given numbers is 2 x 16 x 4807 = 153824
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 32,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,9614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,9614) x common factors =2 x 1 = 2
LCM(32,9614) = ( 32 × 9614 ) / 2
LCM(32,9614) = 307648 / 2
LCM(32,9614) = 153824
Lets's calculate GCF of 408,6138
2 | 408, 6138 |
3 | 204, 3069 |
68, 1023 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153824/6
Therefore the LCM of Fractions 32/408,9614/6138 is 153824/6
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 6138
List of positive integer factors of 6138 that divides 6138 without a remainder.
1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Greatest Common Factor
We found the factors 408,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 408,6138 is 6.
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 32/408, 9614/6138?
Answer: LCM of Numerators as per given numbers 32/408, 9614/6138 is
LCM of Numerators i.e. for 32,9614 is 153824
GCF of denominators i.e. for 408,6138 is 6.
Thus, LCM of Fractions is 153824/6.Finally, LCM of Fractions for 32/408, 9614/6138 is 153824/6.