Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 927/87, 228/22, 987/341 quickly i.e. 23178708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 927/87, 228/22, 987/341 is 23178708.
LCM(927/87, 228/22, 987/341) = 23178708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 927/87,228/22,987/341
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 927,228,987
Least Common Multiple of Numerators i.e. LCM of 927,228,987 is 23178708.
GCF of Denominators means GCF of 87,22,341 as per the given fractions.
GCF of 87,22,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 927,228,987
3 | 927, 228, 987 |
309, 76, 329 |
∴ So the LCM of the given numbers is 3 x 309 x 76 x 329 = 23178708
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 927,228,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,228,987) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(927,228,987) x common factors =3 x 3 = 9
LCM(927,228,987) = ( 927 × 228 × 987 ) / 9
LCM(927,228,987) = 208608372 / 9
LCM(927,228,987) = 23178708
Lets's calculate GCF of 87,22,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23178708/1
Therefore the LCM of Fractions 927/87,228/22,987/341 is 23178708
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 87,22,341 . The biggest common factor number is the GCF number.
So the greatest common factor 87,22,341 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 927/87, 228/22, 987/341?
Answer: LCM of Numerators as per given numbers 927/87, 228/22, 987/341 is
LCM of Numerators i.e. for 927,228,987 is 23178708
GCF of denominators i.e. for 87,22,341 is 1.
Thus, LCM of Fractions is 23178708.Finally, LCM of Fractions for 927/87, 228/22, 987/341 is 23178708.