Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/28, 864/30, 891/786 quickly i.e. 1040688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/28, 864/30, 891/786 is 1040688.
LCM(438/28, 864/30, 891/786) = 1040688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/28,864/30,891/786
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 438,864,891
Least Common Multiple of Numerators i.e. LCM of 438,864,891 is 2081376.
GCF of Denominators means GCF of 28,30,786 as per the given fractions.
GCF of 28,30,786 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,864,891
2 | 438, 864, 891 |
3 | 219, 432, 891 |
3 | 73, 144, 297 |
3 | 73, 48, 99 |
73, 16, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 73 x 16 x 33 = 2081376
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 438,864,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,864,891) = 3
common factors(in case of two or more numbers have common factors) = 54
GCF(438,864,891) x common factors =3 x 54 = 162
LCM(438,864,891) = ( 438 × 864 × 891 ) / 162
LCM(438,864,891) = 337182912 / 162
LCM(438,864,891) = 2081376
Lets's calculate GCF of 28,30,786
2 | 28, 30, 786 |
14, 15, 393 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2081376/2
Therefore the LCM of Fractions 438/28,864/30,891/786 is 1040688
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 28,30,786 . The biggest common factor number is the GCF number.
So the greatest common factor 28,30,786 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 438/28, 864/30, 891/786?
Answer: LCM of Numerators as per given numbers 438/28, 864/30, 891/786 is
LCM of Numerators i.e. for 438,864,891 is 2081376
GCF of denominators i.e. for 28,30,786 is 2.
Thus, LCM of Fractions is 1040688.Finally, LCM of Fractions for 438/28, 864/30, 891/786 is 1040688.