Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 585/71, 576/29, 140/704 quickly i.e. 262080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 585/71, 576/29, 140/704 is 262080.
LCM(585/71, 576/29, 140/704) = 262080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 585/71,576/29,140/704
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 585,576,140
Least Common Multiple of Numerators i.e. LCM of 585,576,140 is 262080.
GCF of Denominators means GCF of 71,29,704 as per the given fractions.
GCF of 71,29,704 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 585,576,140
2 | 585, 576, 140 |
2 | 585, 288, 70 |
3 | 585, 144, 35 |
3 | 195, 48, 35 |
5 | 65, 16, 35 |
13, 16, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 13 x 16 x 7 = 262080
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 585,576,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,576,140) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(585,576,140) x common factors =1 x 180 = 180
LCM(585,576,140) = ( 585 × 576 × 140 ) / 180
LCM(585,576,140) = 47174400 / 180
LCM(585,576,140) = 262080
Lets's calculate GCF of 71,29,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262080/1
Therefore the LCM of Fractions 585/71,576/29,140/704 is 262080
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 71,29,704 . The biggest common factor number is the GCF number.
So the greatest common factor 71,29,704 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 585/71, 576/29, 140/704?
Answer: LCM of Numerators as per given numbers 585/71, 576/29, 140/704 is
LCM of Numerators i.e. for 585,576,140 is 262080
GCF of denominators i.e. for 71,29,704 is 1.
Thus, LCM of Fractions is 262080.Finally, LCM of Fractions for 585/71, 576/29, 140/704 is 262080.