Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/18, 666/74, 113/790 quickly i.e. 1618047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/18, 666/74, 113/790 is 1618047.
LCM(43/18, 666/74, 113/790) = 1618047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/18,666/74,113/790
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 43,666,113
Least Common Multiple of Numerators i.e. LCM of 43,666,113 is 3236094.
GCF of Denominators means GCF of 18,74,790 as per the given fractions.
GCF of 18,74,790 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,666,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 3236094
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 43,666,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,666,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,666,113) x common factors =1 x 1 = 1
LCM(43,666,113) = ( 43 × 666 × 113 ) / 1
LCM(43,666,113) = 3236094 / 1
LCM(43,666,113) = 3236094
Lets's calculate GCF of 18,74,790
2 | 18, 74, 790 |
9, 37, 395 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3236094/2
Therefore the LCM of Fractions 43/18,666/74,113/790 is 1618047
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 18,74,790 . The biggest common factor number is the GCF number.
So the greatest common factor 18,74,790 is 2.
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 43/18, 666/74, 113/790?
Answer: LCM of Numerators as per given numbers 43/18, 666/74, 113/790 is
LCM of Numerators i.e. for 43,666,113 is 3236094
GCF of denominators i.e. for 18,74,790 is 2.
Thus, LCM of Fractions is 1618047.Finally, LCM of Fractions for 43/18, 666/74, 113/790 is 1618047.