Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9581/446, 6972/208 quickly i.e. 33399366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9581/446, 6972/208 is 33399366.
LCM(9581/446, 6972/208) = 33399366
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9581/446,6972/208
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 9581,6972
Least Common Multiple of Numerators i.e. LCM of 9581,6972 is 66798732.
GCF of Denominators means GCF of 446,208 as per the given fractions.
GCF of 446,208 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9581,6972
Given numbers has no common factors except 1. So, there LCM is their product i.e 66798732
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 9581,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9581,6972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9581,6972) x common factors =1 x 1 = 1
LCM(9581,6972) = ( 9581 × 6972 ) / 1
LCM(9581,6972) = 66798732 / 1
LCM(9581,6972) = 66798732
Lets's calculate GCF of 446,208
2 | 446, 208 |
223, 104 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66798732/2
Therefore the LCM of Fractions 9581/446,6972/208 is 33399366
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 446,208 . The biggest common factor number is the GCF number.
So the greatest common factor 446,208 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 9581/446, 6972/208?
Answer: LCM of Numerators as per given numbers 9581/446, 6972/208 is
LCM of Numerators i.e. for 9581,6972 is 66798732
GCF of denominators i.e. for 446,208 is 2.
Thus, LCM of Fractions is 33399366.Finally, LCM of Fractions for 9581/446, 6972/208 is 33399366.