Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/522, 335/237, 456/195 quickly i.e. 22048360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/522, 335/237, 456/195 is 22048360.
LCM(866/522, 335/237, 456/195) = 22048360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/522,335/237,456/195
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 866,335,456
Least Common Multiple of Numerators i.e. LCM of 866,335,456 is 66145080.
GCF of Denominators means GCF of 522,237,195 as per the given fractions.
GCF of 522,237,195 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,335,456
2 | 866, 335, 456 |
433, 335, 228 |
∴ So the LCM of the given numbers is 2 x 433 x 335 x 228 = 66145080
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 866,335,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,335,456) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(866,335,456) x common factors =1 x 2 = 2
LCM(866,335,456) = ( 866 × 335 × 456 ) / 2
LCM(866,335,456) = 132290160 / 2
LCM(866,335,456) = 66145080
Lets's calculate GCF of 522,237,195
3 | 522, 237, 195 |
174, 79, 65 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66145080/3
Therefore the LCM of Fractions 866/522,335/237,456/195 is 22048360
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 522,237,195 . The biggest common factor number is the GCF number.
So the greatest common factor 522,237,195 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 866/522, 335/237, 456/195?
Answer: LCM of Numerators as per given numbers 866/522, 335/237, 456/195 is
LCM of Numerators i.e. for 866,335,456 is 66145080
GCF of denominators i.e. for 522,237,195 is 3.
Thus, LCM of Fractions is 22048360.Finally, LCM of Fractions for 866/522, 335/237, 456/195 is 22048360.