Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 718/423, 581/983, 443/155 quickly i.e. 184800994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 718/423, 581/983, 443/155 is 184800994.
LCM(718/423, 581/983, 443/155) = 184800994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 718/423,581/983,443/155
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 718,581,443
Least Common Multiple of Numerators i.e. LCM of 718,581,443 is 184800994.
GCF of Denominators means GCF of 423,983,155 as per the given fractions.
GCF of 423,983,155 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 718,581,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 184800994
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 718,581,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,581,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,581,443) x common factors =1 x 1 = 1
LCM(718,581,443) = ( 718 × 581 × 443 ) / 1
LCM(718,581,443) = 184800994 / 1
LCM(718,581,443) = 184800994
Lets's calculate GCF of 423,983,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184800994/1
Therefore the LCM of Fractions 718/423,581/983,443/155 is 184800994
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 423,983,155 . The biggest common factor number is the GCF number.
So the greatest common factor 423,983,155 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 718/423, 581/983, 443/155?
Answer: LCM of Numerators as per given numbers 718/423, 581/983, 443/155 is
LCM of Numerators i.e. for 718,581,443 is 184800994
GCF of denominators i.e. for 423,983,155 is 1.
Thus, LCM of Fractions is 184800994.Finally, LCM of Fractions for 718/423, 581/983, 443/155 is 184800994.