Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 559/34, 175/30, 705/219 quickly i.e. 13793325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 559/34, 175/30, 705/219 is 13793325.
LCM(559/34, 175/30, 705/219) = 13793325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 559/34,175/30,705/219
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 559,175,705
Least Common Multiple of Numerators i.e. LCM of 559,175,705 is 13793325.
GCF of Denominators means GCF of 34,30,219 as per the given fractions.
GCF of 34,30,219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 559,175,705
5 | 559, 175, 705 |
559, 35, 141 |
∴ So the LCM of the given numbers is 5 x 559 x 35 x 141 = 13793325
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 559,175,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,175,705) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(559,175,705) x common factors =1 x 5 = 5
LCM(559,175,705) = ( 559 × 175 × 705 ) / 5
LCM(559,175,705) = 68966625 / 5
LCM(559,175,705) = 13793325
Lets's calculate GCF of 34,30,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13793325/1
Therefore the LCM of Fractions 559/34,175/30,705/219 is 13793325
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 34,30,219 . The biggest common factor number is the GCF number.
So the greatest common factor 34,30,219 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 559/34, 175/30, 705/219?
Answer: LCM of Numerators as per given numbers 559/34, 175/30, 705/219 is
LCM of Numerators i.e. for 559,175,705 is 13793325
GCF of denominators i.e. for 34,30,219 is 1.
Thus, LCM of Fractions is 13793325.Finally, LCM of Fractions for 559/34, 175/30, 705/219 is 13793325.