Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9063/530, 4001/9870 quickly i.e. 36261063/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9063/530, 4001/9870 is 36261063/10.
LCM(9063/530, 4001/9870) = 36261063/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9063/530,4001/9870
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 9063,4001
Least Common Multiple of Numerators i.e. LCM of 9063,4001 is 36261063.
GCF of Denominators means GCF of 530,9870 as per the given fractions.
GCF of 530,9870 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9063,4001
Given numbers has no common factors except 1. So, there LCM is their product i.e 36261063
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 9063,4001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9063,4001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9063,4001) x common factors =1 x 1 = 1
LCM(9063,4001) = ( 9063 × 4001 ) / 1
LCM(9063,4001) = 36261063 / 1
LCM(9063,4001) = 36261063
Lets's calculate GCF of 530,9870
2 | 530, 9870 |
5 | 265, 4935 |
53, 987 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36261063/10
Therefore the LCM of Fractions 9063/530,4001/9870 is 36261063/10
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 9870
List of positive integer factors of 9870 that divides 9870 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 530,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 530,9870 is 10.
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 9063/530, 4001/9870?
Answer: LCM of Numerators as per given numbers 9063/530, 4001/9870 is
LCM of Numerators i.e. for 9063,4001 is 36261063
GCF of denominators i.e. for 530,9870 is 10.
Thus, LCM of Fractions is 36261063/10.Finally, LCM of Fractions for 9063/530, 4001/9870 is 36261063/10.