Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/92, 447/61, 816/944 quickly i.e. 729504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/92, 447/61, 816/944 is 729504.
LCM(288/92, 447/61, 816/944) = 729504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/92,447/61,816/944
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 288,447,816
Least Common Multiple of Numerators i.e. LCM of 288,447,816 is 729504.
GCF of Denominators means GCF of 92,61,944 as per the given fractions.
GCF of 92,61,944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,447,816
2 | 288, 447, 816 |
2 | 144, 447, 408 |
2 | 72, 447, 204 |
2 | 36, 447, 102 |
3 | 18, 447, 51 |
6, 149, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 6 x 149 x 17 = 729504
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 288,447,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,447,816) = 3
common factors(in case of two or more numbers have common factors) = 48
GCF(288,447,816) x common factors =3 x 48 = 144
LCM(288,447,816) = ( 288 × 447 × 816 ) / 144
LCM(288,447,816) = 105048576 / 144
LCM(288,447,816) = 729504
Lets's calculate GCF of 92,61,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729504/1
Therefore the LCM of Fractions 288/92,447/61,816/944 is 729504
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 92,61,944 . The biggest common factor number is the GCF number.
So the greatest common factor 92,61,944 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 288/92, 447/61, 816/944?
Answer: LCM of Numerators as per given numbers 288/92, 447/61, 816/944 is
LCM of Numerators i.e. for 288,447,816 is 729504
GCF of denominators i.e. for 92,61,944 is 1.
Thus, LCM of Fractions is 729504.Finally, LCM of Fractions for 288/92, 447/61, 816/944 is 729504.