Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 111/460, 7340/717 quickly i.e. 814740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 111/460, 7340/717 is 814740.
LCM(111/460, 7340/717) = 814740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 111/460,7340/717
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 111,7340
Least Common Multiple of Numerators i.e. LCM of 111,7340 is 814740.
GCF of Denominators means GCF of 460,717 as per the given fractions.
GCF of 460,717 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 111,7340
Given numbers has no common factors except 1. So, there LCM is their product i.e 814740
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 111,7340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,7340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,7340) x common factors =1 x 1 = 1
LCM(111,7340) = ( 111 × 7340 ) / 1
LCM(111,7340) = 814740 / 1
LCM(111,7340) = 814740
Lets's calculate GCF of 460,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 814740/1
Therefore the LCM of Fractions 111/460,7340/717 is 814740
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Greatest Common Factor
We found the factors 460,717 . The biggest common factor number is the GCF number.
So the greatest common factor 460,717 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 111/460, 7340/717?
Answer: LCM of Numerators as per given numbers 111/460, 7340/717 is
LCM of Numerators i.e. for 111,7340 is 814740
GCF of denominators i.e. for 460,717 is 1.
Thus, LCM of Fractions is 814740.Finally, LCM of Fractions for 111/460, 7340/717 is 814740.