Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8221/402, 8175/9133 quickly i.e. 67206675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8221/402, 8175/9133 is 67206675.
LCM(8221/402, 8175/9133) = 67206675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8221/402,8175/9133
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 8221,8175
Least Common Multiple of Numerators i.e. LCM of 8221,8175 is 67206675.
GCF of Denominators means GCF of 402,9133 as per the given fractions.
GCF of 402,9133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8221,8175
Given numbers has no common factors except 1. So, there LCM is their product i.e 67206675
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 8221,8175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8221,8175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8221,8175) x common factors =1 x 1 = 1
LCM(8221,8175) = ( 8221 × 8175 ) / 1
LCM(8221,8175) = 67206675 / 1
LCM(8221,8175) = 67206675
Lets's calculate GCF of 402,9133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67206675/1
Therefore the LCM of Fractions 8221/402,8175/9133 is 67206675
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 9133
List of positive integer factors of 9133 that divides 9133 without a remainder.
1,9133
Greatest Common Factor
We found the factors 402,9133 . The biggest common factor number is the GCF number.
So the greatest common factor 402,9133 is 1.
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 8221/402, 8175/9133?
Answer: LCM of Numerators as per given numbers 8221/402, 8175/9133 is
LCM of Numerators i.e. for 8221,8175 is 67206675
GCF of denominators i.e. for 402,9133 is 1.
Thus, LCM of Fractions is 67206675.Finally, LCM of Fractions for 8221/402, 8175/9133 is 67206675.