Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/309, 1204/9937 quickly i.e. 19264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/309, 1204/9937 is 19264.
LCM(64/309, 1204/9937) = 19264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/309,1204/9937
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 64,1204
Least Common Multiple of Numerators i.e. LCM of 64,1204 is 19264.
GCF of Denominators means GCF of 309,9937 as per the given fractions.
GCF of 309,9937 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,1204
2 | 64, 1204 |
2 | 32, 602 |
16, 301 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 301 = 19264
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 64,1204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,1204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,1204) x common factors =4 x 1 = 4
LCM(64,1204) = ( 64 × 1204 ) / 4
LCM(64,1204) = 77056 / 4
LCM(64,1204) = 19264
Lets's calculate GCF of 309,9937
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19264/1
Therefore the LCM of Fractions 64/309,1204/9937 is 19264
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 9937
List of positive integer factors of 9937 that divides 9937 without a remainder.
1,19,523,9937
Greatest Common Factor
We found the factors 309,9937 . The biggest common factor number is the GCF number.
So the greatest common factor 309,9937 is 1.
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 64/309, 1204/9937?
Answer: LCM of Numerators as per given numbers 64/309, 1204/9937 is
LCM of Numerators i.e. for 64,1204 is 19264
GCF of denominators i.e. for 309,9937 is 1.
Thus, LCM of Fractions is 19264.Finally, LCM of Fractions for 64/309, 1204/9937 is 19264.