Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 294/563, 571/168, 107/588 quickly i.e. 17962518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 294/563, 571/168, 107/588 is 17962518.
LCM(294/563, 571/168, 107/588) = 17962518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 294/563,571/168,107/588
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 294,571,107
Least Common Multiple of Numerators i.e. LCM of 294,571,107 is 17962518.
GCF of Denominators means GCF of 563,168,588 as per the given fractions.
GCF of 563,168,588 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 294,571,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 17962518
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 294,571,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,571,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(294,571,107) x common factors =1 x 1 = 1
LCM(294,571,107) = ( 294 × 571 × 107 ) / 1
LCM(294,571,107) = 17962518 / 1
LCM(294,571,107) = 17962518
Lets's calculate GCF of 563,168,588
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17962518/1
Therefore the LCM of Fractions 294/563,571/168,107/588 is 17962518
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
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
Greatest Common Factor
We found the factors 563,168,588 . The biggest common factor number is the GCF number.
So the greatest common factor 563,168,588 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 294/563, 571/168, 107/588?
Answer: LCM of Numerators as per given numbers 294/563, 571/168, 107/588 is
LCM of Numerators i.e. for 294,571,107 is 17962518
GCF of denominators i.e. for 563,168,588 is 1.
Thus, LCM of Fractions is 17962518.Finally, LCM of Fractions for 294/563, 571/168, 107/588 is 17962518.