Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 859/66, 860/7197 quickly i.e. 738740/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 859/66, 860/7197 is 738740/3.
LCM(859/66, 860/7197) = 738740/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 859/66,860/7197
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 859,860
Least Common Multiple of Numerators i.e. LCM of 859,860 is 738740.
GCF of Denominators means GCF of 66,7197 as per the given fractions.
GCF of 66,7197 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 859,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 738740
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 859,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,860) x common factors =1 x 1 = 1
LCM(859,860) = ( 859 × 860 ) / 1
LCM(859,860) = 738740 / 1
LCM(859,860) = 738740
Lets's calculate GCF of 66,7197
3 | 66, 7197 |
22, 2399 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 738740/3
Therefore the LCM of Fractions 859/66,860/7197 is 738740/3
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 7197
List of positive integer factors of 7197 that divides 7197 without a remainder.
1,3,2399,7197
Greatest Common Factor
We found the factors 66,7197 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7197 is 3.
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 859/66, 860/7197?
Answer: LCM of Numerators as per given numbers 859/66, 860/7197 is
LCM of Numerators i.e. for 859,860 is 738740
GCF of denominators i.e. for 66,7197 is 3.
Thus, LCM of Fractions is 738740/3.Finally, LCM of Fractions for 859/66, 860/7197 is 738740/3.