Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/615, 6109/8021 quickly i.e. 415412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/615, 6109/8021 is 415412.
LCM(68/615, 6109/8021) = 415412
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/615,6109/8021
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 68,6109
Least Common Multiple of Numerators i.e. LCM of 68,6109 is 415412.
GCF of Denominators means GCF of 615,8021 as per the given fractions.
GCF of 615,8021 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,6109
Given numbers has no common factors except 1. So, there LCM is their product i.e 415412
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 68,6109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,6109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,6109) x common factors =1 x 1 = 1
LCM(68,6109) = ( 68 × 6109 ) / 1
LCM(68,6109) = 415412 / 1
LCM(68,6109) = 415412
Lets's calculate GCF of 615,8021
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415412/1
Therefore the LCM of Fractions 68/615,6109/8021 is 415412
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 8021
List of positive integer factors of 8021 that divides 8021 without a remainder.
1,13,617,8021
Greatest Common Factor
We found the factors 615,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 615,8021 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 68/615, 6109/8021?
Answer: LCM of Numerators as per given numbers 68/615, 6109/8021 is
LCM of Numerators i.e. for 68,6109 is 415412
GCF of denominators i.e. for 615,8021 is 1.
Thus, LCM of Fractions is 415412.Finally, LCM of Fractions for 68/615, 6109/8021 is 415412.