Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 228/86, 868/55, 381/496 quickly i.e. 6283452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 228/86, 868/55, 381/496 is 6283452.
LCM(228/86, 868/55, 381/496) = 6283452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 228/86,868/55,381/496
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 228,868,381
Least Common Multiple of Numerators i.e. LCM of 228,868,381 is 6283452.
GCF of Denominators means GCF of 86,55,496 as per the given fractions.
GCF of 86,55,496 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 228,868,381
2 | 228, 868, 381 |
2 | 114, 434, 381 |
3 | 57, 217, 381 |
19, 217, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 217 x 127 = 6283452
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 228,868,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,868,381) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(228,868,381) x common factors =1 x 12 = 12
LCM(228,868,381) = ( 228 × 868 × 381 ) / 12
LCM(228,868,381) = 75401424 / 12
LCM(228,868,381) = 6283452
Lets's calculate GCF of 86,55,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6283452/1
Therefore the LCM of Fractions 228/86,868/55,381/496 is 6283452
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 86,55,496 . The biggest common factor number is the GCF number.
So the greatest common factor 86,55,496 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 228/86, 868/55, 381/496?
Answer: LCM of Numerators as per given numbers 228/86, 868/55, 381/496 is
LCM of Numerators i.e. for 228,868,381 is 6283452
GCF of denominators i.e. for 86,55,496 is 1.
Thus, LCM of Fractions is 6283452.Finally, LCM of Fractions for 228/86, 868/55, 381/496 is 6283452.