Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/799, 89/812, 301/903 quickly i.e. 1580551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/799, 89/812, 301/903 is 1580551.
LCM(59/799, 89/812, 301/903) = 1580551
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/799,89/812,301/903
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 59,89,301
Least Common Multiple of Numerators i.e. LCM of 59,89,301 is 1580551.
GCF of Denominators means GCF of 799,812,903 as per the given fractions.
GCF of 799,812,903 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,89,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 1580551
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 59,89,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,89,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,89,301) x common factors =1 x 1 = 1
LCM(59,89,301) = ( 59 × 89 × 301 ) / 1
LCM(59,89,301) = 1580551 / 1
LCM(59,89,301) = 1580551
Lets's calculate GCF of 799,812,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580551/1
Therefore the LCM of Fractions 59/799,89/812,301/903 is 1580551
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 799,812,903 . The biggest common factor number is the GCF number.
So the greatest common factor 799,812,903 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 59/799, 89/812, 301/903?
Answer: LCM of Numerators as per given numbers 59/799, 89/812, 301/903 is
LCM of Numerators i.e. for 59,89,301 is 1580551
GCF of denominators i.e. for 799,812,903 is 1.
Thus, LCM of Fractions is 1580551.Finally, LCM of Fractions for 59/799, 89/812, 301/903 is 1580551.