Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 309/66, 795/56, 502/233 quickly i.e. 41106270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 309/66, 795/56, 502/233 is 41106270.
LCM(309/66, 795/56, 502/233) = 41106270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 309/66,795/56,502/233
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 309,795,502
Least Common Multiple of Numerators i.e. LCM of 309,795,502 is 41106270.
GCF of Denominators means GCF of 66,56,233 as per the given fractions.
GCF of 66,56,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 309,795,502
3 | 309, 795, 502 |
103, 265, 502 |
∴ So the LCM of the given numbers is 3 x 103 x 265 x 502 = 41106270
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 309,795,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,795,502) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(309,795,502) x common factors =1 x 3 = 3
LCM(309,795,502) = ( 309 × 795 × 502 ) / 3
LCM(309,795,502) = 123318810 / 3
LCM(309,795,502) = 41106270
Lets's calculate GCF of 66,56,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41106270/1
Therefore the LCM of Fractions 309/66,795/56,502/233 is 41106270
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 66,56,233 . The biggest common factor number is the GCF number.
So the greatest common factor 66,56,233 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 309/66, 795/56, 502/233?
Answer: LCM of Numerators as per given numbers 309/66, 795/56, 502/233 is
LCM of Numerators i.e. for 309,795,502 is 41106270
GCF of denominators i.e. for 66,56,233 is 1.
Thus, LCM of Fractions is 41106270.Finally, LCM of Fractions for 309/66, 795/56, 502/233 is 41106270.