Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/588, 345/670, 288/708 quickly i.e. 115920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/588, 345/670, 288/708 is 115920.
LCM(28/588, 345/670, 288/708) = 115920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/588,345/670,288/708
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 28,345,288
Least Common Multiple of Numerators i.e. LCM of 28,345,288 is 231840.
GCF of Denominators means GCF of 588,670,708 as per the given fractions.
GCF of 588,670,708 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,345,288
2 | 28, 345, 288 |
2 | 14, 345, 144 |
3 | 7, 345, 72 |
7, 115, 24 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 115 x 24 = 231840
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 28,345,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,345,288) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(28,345,288) x common factors =1 x 12 = 12
LCM(28,345,288) = ( 28 × 345 × 288 ) / 12
LCM(28,345,288) = 2782080 / 12
LCM(28,345,288) = 231840
Lets's calculate GCF of 588,670,708
2 | 588, 670, 708 |
294, 335, 354 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231840/2
Therefore the LCM of Fractions 28/588,345/670,288/708 is 115920
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 588,670,708 . The biggest common factor number is the GCF number.
So the greatest common factor 588,670,708 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 28/588, 345/670, 288/708?
Answer: LCM of Numerators as per given numbers 28/588, 345/670, 288/708 is
LCM of Numerators i.e. for 28,345,288 is 231840
GCF of denominators i.e. for 588,670,708 is 2.
Thus, LCM of Fractions is 115920.Finally, LCM of Fractions for 28/588, 345/670, 288/708 is 115920.