Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 216/42, 849/64, 225/827 quickly i.e. 1528200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 216/42, 849/64, 225/827 is 1528200.
LCM(216/42, 849/64, 225/827) = 1528200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 216/42,849/64,225/827
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 216,849,225
Least Common Multiple of Numerators i.e. LCM of 216,849,225 is 1528200.
GCF of Denominators means GCF of 42,64,827 as per the given fractions.
GCF of 42,64,827 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 216,849,225
3 | 216, 849, 225 |
3 | 72, 283, 75 |
24, 283, 25 |
∴ So the LCM of the given numbers is 3 x 3 x 24 x 283 x 25 = 1528200
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 216,849,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,849,225) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(216,849,225) x common factors =3 x 9 = 27
LCM(216,849,225) = ( 216 × 849 × 225 ) / 27
LCM(216,849,225) = 41261400 / 27
LCM(216,849,225) = 1528200
Lets's calculate GCF of 42,64,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528200/1
Therefore the LCM of Fractions 216/42,849/64,225/827 is 1528200
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 42,64,827 . The biggest common factor number is the GCF number.
So the greatest common factor 42,64,827 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 216/42, 849/64, 225/827?
Answer: LCM of Numerators as per given numbers 216/42, 849/64, 225/827 is
LCM of Numerators i.e. for 216,849,225 is 1528200
GCF of denominators i.e. for 42,64,827 is 1.
Thus, LCM of Fractions is 1528200.Finally, LCM of Fractions for 216/42, 849/64, 225/827 is 1528200.