Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/741, 1746/790 quickly i.e. 567450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/741, 1746/790 is 567450.
LCM(650/741, 1746/790) = 567450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/741,1746/790
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 650,1746
Least Common Multiple of Numerators i.e. LCM of 650,1746 is 567450.
GCF of Denominators means GCF of 741,790 as per the given fractions.
GCF of 741,790 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,1746
2 | 650, 1746 |
325, 873 |
∴ So the LCM of the given numbers is 2 x 325 x 873 = 567450
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 650,1746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,1746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,1746) x common factors =2 x 1 = 2
LCM(650,1746) = ( 650 × 1746 ) / 2
LCM(650,1746) = 1134900 / 2
LCM(650,1746) = 567450
Lets's calculate GCF of 741,790
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567450/1
Therefore the LCM of Fractions 650/741,1746/790 is 567450
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
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 741,790 . The biggest common factor number is the GCF number.
So the greatest common factor 741,790 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 650/741, 1746/790?
Answer: LCM of Numerators as per given numbers 650/741, 1746/790 is
LCM of Numerators i.e. for 650,1746 is 567450
GCF of denominators i.e. for 741,790 is 1.
Thus, LCM of Fractions is 567450.Finally, LCM of Fractions for 650/741, 1746/790 is 567450.