Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/80, 784/89, 864/986 quickly i.e. 42336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/80, 784/89, 864/986 is 42336.
LCM(28/80, 784/89, 864/986) = 42336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/80,784/89,864/986
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 28,784,864
Least Common Multiple of Numerators i.e. LCM of 28,784,864 is 42336.
GCF of Denominators means GCF of 80,89,986 as per the given fractions.
GCF of 80,89,986 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,784,864
2 | 28, 784, 864 |
2 | 14, 392, 432 |
2 | 7, 196, 216 |
2 | 7, 98, 108 |
7 | 7, 49, 54 |
1, 7, 54 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 1 x 7 x 54 = 42336
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 28,784,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,784,864) = 4
common factors(in case of two or more numbers have common factors) = 112
GCF(28,784,864) x common factors =4 x 112 = 448
LCM(28,784,864) = ( 28 × 784 × 864 ) / 448
LCM(28,784,864) = 18966528 / 448
LCM(28,784,864) = 42336
Lets's calculate GCF of 80,89,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42336/1
Therefore the LCM of Fractions 28/80,784/89,864/986 is 42336
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 80,89,986 . The biggest common factor number is the GCF number.
So the greatest common factor 80,89,986 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 28/80, 784/89, 864/986?
Answer: LCM of Numerators as per given numbers 28/80, 784/89, 864/986 is
LCM of Numerators i.e. for 28,784,864 is 42336
GCF of denominators i.e. for 80,89,986 is 1.
Thus, LCM of Fractions is 42336.Finally, LCM of Fractions for 28/80, 784/89, 864/986 is 42336.