Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/806, 43/940, 65/540 quickly i.e. 19565/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/806, 43/940, 65/540 is 19565/2.
LCM(7/806, 43/940, 65/540) = 19565/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/806,43/940,65/540
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 7,43,65
Least Common Multiple of Numerators i.e. LCM of 7,43,65 is 19565.
GCF of Denominators means GCF of 806,940,540 as per the given fractions.
GCF of 806,940,540 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,43,65
Given numbers has no common factors except 1. So, there LCM is their product i.e 19565
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 7,43,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,43,65) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,43,65) x common factors =1 x 1 = 1
LCM(7,43,65) = ( 7 × 43 × 65 ) / 1
LCM(7,43,65) = 19565 / 1
LCM(7,43,65) = 19565
Lets's calculate GCF of 806,940,540
2 | 806, 940, 540 |
403, 470, 270 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19565/2
Therefore the LCM of Fractions 7/806,43/940,65/540 is 19565/2
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 806,940,540 . The biggest common factor number is the GCF number.
So the greatest common factor 806,940,540 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 7/806, 43/940, 65/540?
Answer: LCM of Numerators as per given numbers 7/806, 43/940, 65/540 is
LCM of Numerators i.e. for 7,43,65 is 19565
GCF of denominators i.e. for 806,940,540 is 2.
Thus, LCM of Fractions is 19565/2.Finally, LCM of Fractions for 7/806, 43/940, 65/540 is 19565/2.