Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/36, 216/18, 559/655 quickly i.e. 845208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/36, 216/18, 559/655 is 845208.
LCM(21/36, 216/18, 559/655) = 845208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/36,216/18,559/655
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 21,216,559
Least Common Multiple of Numerators i.e. LCM of 21,216,559 is 845208.
GCF of Denominators means GCF of 36,18,655 as per the given fractions.
GCF of 36,18,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,216,559
3 | 21, 216, 559 |
7, 72, 559 |
∴ So the LCM of the given numbers is 3 x 7 x 72 x 559 = 845208
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 21,216,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,216,559) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,216,559) x common factors =1 x 3 = 3
LCM(21,216,559) = ( 21 × 216 × 559 ) / 3
LCM(21,216,559) = 2535624 / 3
LCM(21,216,559) = 845208
Lets's calculate GCF of 36,18,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 845208/1
Therefore the LCM of Fractions 21/36,216/18,559/655 is 845208
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 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 36,18,655 . The biggest common factor number is the GCF number.
So the greatest common factor 36,18,655 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 21/36, 216/18, 559/655?
Answer: LCM of Numerators as per given numbers 21/36, 216/18, 559/655 is
LCM of Numerators i.e. for 21,216,559 is 845208
GCF of denominators i.e. for 36,18,655 is 1.
Thus, LCM of Fractions is 845208.Finally, LCM of Fractions for 21/36, 216/18, 559/655 is 845208.