Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/720, 15/891, 393/860 quickly i.e. 13755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/720, 15/891, 393/860 is 13755.
LCM(35/720, 15/891, 393/860) = 13755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/720,15/891,393/860
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 35,15,393
Least Common Multiple of Numerators i.e. LCM of 35,15,393 is 13755.
GCF of Denominators means GCF of 720,891,860 as per the given fractions.
GCF of 720,891,860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,15,393
3 | 35, 15, 393 |
5 | 35, 5, 131 |
7, 1, 131 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 131 = 13755
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 35,15,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,15,393) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(35,15,393) x common factors =1 x 15 = 15
LCM(35,15,393) = ( 35 × 15 × 393 ) / 15
LCM(35,15,393) = 206325 / 15
LCM(35,15,393) = 13755
Lets's calculate GCF of 720,891,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13755/1
Therefore the LCM of Fractions 35/720,15/891,393/860 is 13755
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 720,891,860 . The biggest common factor number is the GCF number.
So the greatest common factor 720,891,860 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 35/720, 15/891, 393/860?
Answer: LCM of Numerators as per given numbers 35/720, 15/891, 393/860 is
LCM of Numerators i.e. for 35,15,393 is 13755
GCF of denominators i.e. for 720,891,860 is 1.
Thus, LCM of Fractions is 13755.Finally, LCM of Fractions for 35/720, 15/891, 393/860 is 13755.