Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/65, 347/42, 579/666 quickly i.e. 8237433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/65, 347/42, 579/666 is 8237433.
LCM(41/65, 347/42, 579/666) = 8237433
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/65,347/42,579/666
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 41,347,579
Least Common Multiple of Numerators i.e. LCM of 41,347,579 is 8237433.
GCF of Denominators means GCF of 65,42,666 as per the given fractions.
GCF of 65,42,666 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,347,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 8237433
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 41,347,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,347,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,347,579) x common factors =1 x 1 = 1
LCM(41,347,579) = ( 41 × 347 × 579 ) / 1
LCM(41,347,579) = 8237433 / 1
LCM(41,347,579) = 8237433
Lets's calculate GCF of 65,42,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8237433/1
Therefore the LCM of Fractions 41/65,347/42,579/666 is 8237433
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 65,42,666 . The biggest common factor number is the GCF number.
So the greatest common factor 65,42,666 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 41/65, 347/42, 579/666?
Answer: LCM of Numerators as per given numbers 41/65, 347/42, 579/666 is
LCM of Numerators i.e. for 41,347,579 is 8237433
GCF of denominators i.e. for 65,42,666 is 1.
Thus, LCM of Fractions is 8237433.Finally, LCM of Fractions for 41/65, 347/42, 579/666 is 8237433.