Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7441/808, 9173/1422 quickly i.e. 68256293/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7441/808, 9173/1422 is 68256293/2.
LCM(7441/808, 9173/1422) = 68256293/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7441/808,9173/1422
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 7441,9173
Least Common Multiple of Numerators i.e. LCM of 7441,9173 is 68256293.
GCF of Denominators means GCF of 808,1422 as per the given fractions.
GCF of 808,1422 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7441,9173
Given numbers has no common factors except 1. So, there LCM is their product i.e 68256293
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 7441,9173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7441,9173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7441,9173) x common factors =1 x 1 = 1
LCM(7441,9173) = ( 7441 × 9173 ) / 1
LCM(7441,9173) = 68256293 / 1
LCM(7441,9173) = 68256293
Lets's calculate GCF of 808,1422
2 | 808, 1422 |
404, 711 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68256293/2
Therefore the LCM of Fractions 7441/808,9173/1422 is 68256293/2
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 1422
List of positive integer factors of 1422 that divides 1422 without a remainder.
1,2,3,6,9,18,79,158,237,474,711,1422
Greatest Common Factor
We found the factors 808,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 808,1422 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 7441/808, 9173/1422?
Answer: LCM of Numerators as per given numbers 7441/808, 9173/1422 is
LCM of Numerators i.e. for 7441,9173 is 68256293
GCF of denominators i.e. for 808,1422 is 2.
Thus, LCM of Fractions is 68256293/2.Finally, LCM of Fractions for 7441/808, 9173/1422 is 68256293/2.