Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9008/964, 5023/820 quickly i.e. 11311796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9008/964, 5023/820 is 11311796.
LCM(9008/964, 5023/820) = 11311796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9008/964,5023/820
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 9008,5023
Least Common Multiple of Numerators i.e. LCM of 9008,5023 is 45247184.
GCF of Denominators means GCF of 964,820 as per the given fractions.
GCF of 964,820 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9008,5023
Given numbers has no common factors except 1. So, there LCM is their product i.e 45247184
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 9008,5023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9008,5023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9008,5023) x common factors =1 x 1 = 1
LCM(9008,5023) = ( 9008 × 5023 ) / 1
LCM(9008,5023) = 45247184 / 1
LCM(9008,5023) = 45247184
Lets's calculate GCF of 964,820
2 | 964, 820 |
2 | 482, 410 |
241, 205 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45247184/4
Therefore the LCM of Fractions 9008/964,5023/820 is 11311796
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 964,820 . The biggest common factor number is the GCF number.
So the greatest common factor 964,820 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 9008/964, 5023/820?
Answer: LCM of Numerators as per given numbers 9008/964, 5023/820 is
LCM of Numerators i.e. for 9008,5023 is 45247184
GCF of denominators i.e. for 964,820 is 4.
Thus, LCM of Fractions is 11311796.Finally, LCM of Fractions for 9008/964, 5023/820 is 11311796.