Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 463/62, 681/17, 115/718 quickly i.e. 36259845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 463/62, 681/17, 115/718 is 36259845.
LCM(463/62, 681/17, 115/718) = 36259845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 463/62,681/17,115/718
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 463,681,115
Least Common Multiple of Numerators i.e. LCM of 463,681,115 is 36259845.
GCF of Denominators means GCF of 62,17,718 as per the given fractions.
GCF of 62,17,718 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 463,681,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 36259845
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 463,681,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,681,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,681,115) x common factors =1 x 1 = 1
LCM(463,681,115) = ( 463 × 681 × 115 ) / 1
LCM(463,681,115) = 36259845 / 1
LCM(463,681,115) = 36259845
Lets's calculate GCF of 62,17,718
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36259845/1
Therefore the LCM of Fractions 463/62,681/17,115/718 is 36259845
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 62,17,718 . The biggest common factor number is the GCF number.
So the greatest common factor 62,17,718 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 463/62, 681/17, 115/718?
Answer: LCM of Numerators as per given numbers 463/62, 681/17, 115/718 is
LCM of Numerators i.e. for 463,681,115 is 36259845
GCF of denominators i.e. for 62,17,718 is 1.
Thus, LCM of Fractions is 36259845.Finally, LCM of Fractions for 463/62, 681/17, 115/718 is 36259845.