Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/32, 324/9888 quickly i.e. 54108/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/32, 324/9888 is 54108/32.
LCM(334/32, 324/9888) = 54108/32
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/32,324/9888
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 334,324
Least Common Multiple of Numerators i.e. LCM of 334,324 is 54108.
GCF of Denominators means GCF of 32,9888 as per the given fractions.
GCF of 32,9888 is 32 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,324
2 | 334, 324 |
167, 162 |
∴ So the LCM of the given numbers is 2 x 167 x 162 = 54108
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 334,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,324) x common factors =2 x 1 = 2
LCM(334,324) = ( 334 × 324 ) / 2
LCM(334,324) = 108216 / 2
LCM(334,324) = 54108
Lets's calculate GCF of 32,9888
2 | 32, 9888 |
2 | 16, 4944 |
2 | 8, 2472 |
2 | 4, 1236 |
2 | 2, 618 |
1, 309 |
∴ 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 = 54108/32
Therefore the LCM of Fractions 334/32,324/9888 is 54108/32
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 9888
List of positive integer factors of 9888 that divides 9888 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Greatest Common Factor
We found the factors 32,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9888 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 334/32, 324/9888?
Answer: LCM of Numerators as per given numbers 334/32, 324/9888 is
LCM of Numerators i.e. for 334,324 is 54108
GCF of denominators i.e. for 32,9888 is 32.
Thus, LCM of Fractions is 54108/32.Finally, LCM of Fractions for 334/32, 324/9888 is 54108/32.