Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 708/27, 487/24, 560/732 quickly i.e. 16090480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 708/27, 487/24, 560/732 is 16090480.
LCM(708/27, 487/24, 560/732) = 16090480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 708/27,487/24,560/732
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 708,487,560
Least Common Multiple of Numerators i.e. LCM of 708,487,560 is 48271440.
GCF of Denominators means GCF of 27,24,732 as per the given fractions.
GCF of 27,24,732 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 708,487,560
2 | 708, 487, 560 |
2 | 354, 487, 280 |
177, 487, 140 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 487 x 140 = 48271440
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 708,487,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,487,560) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(708,487,560) x common factors =1 x 4 = 4
LCM(708,487,560) = ( 708 × 487 × 560 ) / 4
LCM(708,487,560) = 193085760 / 4
LCM(708,487,560) = 48271440
Lets's calculate GCF of 27,24,732
3 | 27, 24, 732 |
9, 8, 244 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48271440/3
Therefore the LCM of Fractions 708/27,487/24,560/732 is 16090480
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 27,24,732 . The biggest common factor number is the GCF number.
So the greatest common factor 27,24,732 is 3.
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 708/27, 487/24, 560/732?
Answer: LCM of Numerators as per given numbers 708/27, 487/24, 560/732 is
LCM of Numerators i.e. for 708,487,560 is 48271440
GCF of denominators i.e. for 27,24,732 is 3.
Thus, LCM of Fractions is 16090480.Finally, LCM of Fractions for 708/27, 487/24, 560/732 is 16090480.