Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/36, 889/13, 562/660 quickly i.e. 216334594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/36, 889/13, 562/660 is 216334594.
LCM(866/36, 889/13, 562/660) = 216334594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/36,889/13,562/660
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 866,889,562
Least Common Multiple of Numerators i.e. LCM of 866,889,562 is 216334594.
GCF of Denominators means GCF of 36,13,660 as per the given fractions.
GCF of 36,13,660 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,889,562
2 | 866, 889, 562 |
433, 889, 281 |
∴ So the LCM of the given numbers is 2 x 433 x 889 x 281 = 216334594
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 866,889,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,889,562) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(866,889,562) x common factors =1 x 2 = 2
LCM(866,889,562) = ( 866 × 889 × 562 ) / 2
LCM(866,889,562) = 432669188 / 2
LCM(866,889,562) = 216334594
Lets's calculate GCF of 36,13,660
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216334594/1
Therefore the LCM of Fractions 866/36,889/13,562/660 is 216334594
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 36,13,660 . The biggest common factor number is the GCF number.
So the greatest common factor 36,13,660 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 866/36, 889/13, 562/660?
Answer: LCM of Numerators as per given numbers 866/36, 889/13, 562/660 is
LCM of Numerators i.e. for 866,889,562 is 216334594
GCF of denominators i.e. for 36,13,660 is 1.
Thus, LCM of Fractions is 216334594.Finally, LCM of Fractions for 866/36, 889/13, 562/660 is 216334594.