Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/566, 12/708 quickly i.e. 30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/566, 12/708 is 30.
LCM(10/566, 12/708) = 30
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/566,12/708
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 10,12
Least Common Multiple of Numerators i.e. LCM of 10,12 is 60.
GCF of Denominators means GCF of 566,708 as per the given fractions.
GCF of 566,708 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,12
2 | 10, 12 |
5, 6 |
∴ So the LCM of the given numbers is 2 x 5 x 6 = 60
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 10,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,12) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,12) x common factors =2 x 1 = 2
LCM(10,12) = ( 10 × 12 ) / 2
LCM(10,12) = 120 / 2
LCM(10,12) = 60
Lets's calculate GCF of 566,708
2 | 566, 708 |
283, 354 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60/2
Therefore the LCM of Fractions 10/566,12/708 is 30
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
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 566,708 . The biggest common factor number is the GCF number.
So the greatest common factor 566,708 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 10/566, 12/708?
Answer: LCM of Numerators as per given numbers 10/566, 12/708 is
LCM of Numerators i.e. for 10,12 is 60
GCF of denominators i.e. for 566,708 is 2.
Thus, LCM of Fractions is 30.Finally, LCM of Fractions for 10/566, 12/708 is 30.