Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/122, 678/289, 566/935 quickly i.e. 18228030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/122, 678/289, 566/935 is 18228030.
LCM(285/122, 678/289, 566/935) = 18228030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/122,678/289,566/935
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 285,678,566
Least Common Multiple of Numerators i.e. LCM of 285,678,566 is 18228030.
GCF of Denominators means GCF of 122,289,935 as per the given fractions.
GCF of 122,289,935 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,678,566
2 | 285, 678, 566 |
3 | 285, 339, 283 |
95, 113, 283 |
∴ So the LCM of the given numbers is 2 x 3 x 95 x 113 x 283 = 18228030
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 285,678,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,678,566) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(285,678,566) x common factors =1 x 6 = 6
LCM(285,678,566) = ( 285 × 678 × 566 ) / 6
LCM(285,678,566) = 109368180 / 6
LCM(285,678,566) = 18228030
Lets's calculate GCF of 122,289,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18228030/1
Therefore the LCM of Fractions 285/122,678/289,566/935 is 18228030
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 122,289,935 . The biggest common factor number is the GCF number.
So the greatest common factor 122,289,935 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 285/122, 678/289, 566/935?
Answer: LCM of Numerators as per given numbers 285/122, 678/289, 566/935 is
LCM of Numerators i.e. for 285,678,566 is 18228030
GCF of denominators i.e. for 122,289,935 is 1.
Thus, LCM of Fractions is 18228030.Finally, LCM of Fractions for 285/122, 678/289, 566/935 is 18228030.