Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 356/222, 9309/515 quickly i.e. 3314004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 356/222, 9309/515 is 3314004.
LCM(356/222, 9309/515) = 3314004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 356/222,9309/515
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 356,9309
Least Common Multiple of Numerators i.e. LCM of 356,9309 is 3314004.
GCF of Denominators means GCF of 222,515 as per the given fractions.
GCF of 222,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 356,9309
Given numbers has no common factors except 1. So, there LCM is their product i.e 3314004
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 356,9309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,9309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,9309) x common factors =1 x 1 = 1
LCM(356,9309) = ( 356 × 9309 ) / 1
LCM(356,9309) = 3314004 / 1
LCM(356,9309) = 3314004
Lets's calculate GCF of 222,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3314004/1
Therefore the LCM of Fractions 356/222,9309/515 is 3314004
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 222,515 . The biggest common factor number is the GCF number.
So the greatest common factor 222,515 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 356/222, 9309/515?
Answer: LCM of Numerators as per given numbers 356/222, 9309/515 is
LCM of Numerators i.e. for 356,9309 is 3314004
GCF of denominators i.e. for 222,515 is 1.
Thus, LCM of Fractions is 3314004.Finally, LCM of Fractions for 356/222, 9309/515 is 3314004.