Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9407/822, 5661/4166 quickly i.e. 53253027/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9407/822, 5661/4166 is 53253027/2.
LCM(9407/822, 5661/4166) = 53253027/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9407/822,5661/4166
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 9407,5661
Least Common Multiple of Numerators i.e. LCM of 9407,5661 is 53253027.
GCF of Denominators means GCF of 822,4166 as per the given fractions.
GCF of 822,4166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9407,5661
Given numbers has no common factors except 1. So, there LCM is their product i.e 53253027
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 9407,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9407,5661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9407,5661) x common factors =1 x 1 = 1
LCM(9407,5661) = ( 9407 × 5661 ) / 1
LCM(9407,5661) = 53253027 / 1
LCM(9407,5661) = 53253027
Lets's calculate GCF of 822,4166
2 | 822, 4166 |
411, 2083 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53253027/2
Therefore the LCM of Fractions 9407/822,5661/4166 is 53253027/2
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 4166
List of positive integer factors of 4166 that divides 4166 without a remainder.
1,2,2083,4166
Greatest Common Factor
We found the factors 822,4166 . The biggest common factor number is the GCF number.
So the greatest common factor 822,4166 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 9407/822, 5661/4166?
Answer: LCM of Numerators as per given numbers 9407/822, 5661/4166 is
LCM of Numerators i.e. for 9407,5661 is 53253027
GCF of denominators i.e. for 822,4166 is 2.
Thus, LCM of Fractions is 53253027/2.Finally, LCM of Fractions for 9407/822, 5661/4166 is 53253027/2.