Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/48, 333/18, 238/884 quickly i.e. 3764565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/48, 333/18, 238/884 is 3764565.
LCM(285/48, 333/18, 238/884) = 3764565
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/48,333/18,238/884
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 285,333,238
Least Common Multiple of Numerators i.e. LCM of 285,333,238 is 7529130.
GCF of Denominators means GCF of 48,18,884 as per the given fractions.
GCF of 48,18,884 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,333,238
3 | 285, 333, 238 |
95, 111, 238 |
∴ So the LCM of the given numbers is 3 x 95 x 111 x 238 = 7529130
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 285,333,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,333,238) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(285,333,238) x common factors =1 x 3 = 3
LCM(285,333,238) = ( 285 × 333 × 238 ) / 3
LCM(285,333,238) = 22587390 / 3
LCM(285,333,238) = 7529130
Lets's calculate GCF of 48,18,884
2 | 48, 18, 884 |
24, 9, 442 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7529130/2
Therefore the LCM of Fractions 285/48,333/18,238/884 is 3764565
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 48,18,884 . The biggest common factor number is the GCF number.
So the greatest common factor 48,18,884 is 2.
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 285/48, 333/18, 238/884?
Answer: LCM of Numerators as per given numbers 285/48, 333/18, 238/884 is
LCM of Numerators i.e. for 285,333,238 is 7529130
GCF of denominators i.e. for 48,18,884 is 2.
Thus, LCM of Fractions is 3764565.Finally, LCM of Fractions for 285/48, 333/18, 238/884 is 3764565.