Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/818, 9907/1524 quickly i.e. 317024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/818, 9907/1524 is 317024.
LCM(64/818, 9907/1524) = 317024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/818,9907/1524
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 64,9907
Least Common Multiple of Numerators i.e. LCM of 64,9907 is 634048.
GCF of Denominators means GCF of 818,1524 as per the given fractions.
GCF of 818,1524 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,9907
Given numbers has no common factors except 1. So, there LCM is their product i.e 634048
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 64,9907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,9907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,9907) x common factors =1 x 1 = 1
LCM(64,9907) = ( 64 × 9907 ) / 1
LCM(64,9907) = 634048 / 1
LCM(64,9907) = 634048
Lets's calculate GCF of 818,1524
2 | 818, 1524 |
409, 762 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634048/2
Therefore the LCM of Fractions 64/818,9907/1524 is 317024
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 1524
List of positive integer factors of 1524 that divides 1524 without a remainder.
1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 818,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 818,1524 is 2.
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 64/818, 9907/1524?
Answer: LCM of Numerators as per given numbers 64/818, 9907/1524 is
LCM of Numerators i.e. for 64,9907 is 634048
GCF of denominators i.e. for 818,1524 is 2.
Thus, LCM of Fractions is 317024.Finally, LCM of Fractions for 64/818, 9907/1524 is 317024.