Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 464/36, 388/8576 quickly i.e. 11252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 464/36, 388/8576 is 11252.
LCM(464/36, 388/8576) = 11252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 464/36,388/8576
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 464,388
Least Common Multiple of Numerators i.e. LCM of 464,388 is 45008.
GCF of Denominators means GCF of 36,8576 as per the given fractions.
GCF of 36,8576 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 464,388
2 | 464, 388 |
2 | 232, 194 |
116, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 116 x 97 = 45008
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 464,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(464,388) x common factors =4 x 1 = 4
LCM(464,388) = ( 464 × 388 ) / 4
LCM(464,388) = 180032 / 4
LCM(464,388) = 45008
Lets's calculate GCF of 36,8576
2 | 36, 8576 |
2 | 18, 4288 |
9, 2144 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45008/4
Therefore the LCM of Fractions 464/36,388/8576 is 11252
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 8576
List of positive integer factors of 8576 that divides 8576 without a remainder.
1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576
Greatest Common Factor
We found the factors 36,8576 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8576 is 4.
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 464/36, 388/8576?
Answer: LCM of Numerators as per given numbers 464/36, 388/8576 is
LCM of Numerators i.e. for 464,388 is 45008
GCF of denominators i.e. for 36,8576 is 4.
Thus, LCM of Fractions is 11252.Finally, LCM of Fractions for 464/36, 388/8576 is 11252.