Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 203/10, 235/86, 358/588 quickly i.e. 8539195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 203/10, 235/86, 358/588 is 8539195.
LCM(203/10, 235/86, 358/588) = 8539195
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 203/10,235/86,358/588
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 203,235,358
Least Common Multiple of Numerators i.e. LCM of 203,235,358 is 17078390.
GCF of Denominators means GCF of 10,86,588 as per the given fractions.
GCF of 10,86,588 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 203,235,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 17078390
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 203,235,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,235,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,235,358) x common factors =1 x 1 = 1
LCM(203,235,358) = ( 203 × 235 × 358 ) / 1
LCM(203,235,358) = 17078390 / 1
LCM(203,235,358) = 17078390
Lets's calculate GCF of 10,86,588
2 | 10, 86, 588 |
5, 43, 294 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17078390/2
Therefore the LCM of Fractions 203/10,235/86,358/588 is 8539195
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
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 10,86,588 . The biggest common factor number is the GCF number.
So the greatest common factor 10,86,588 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 203/10, 235/86, 358/588?
Answer: LCM of Numerators as per given numbers 203/10, 235/86, 358/588 is
LCM of Numerators i.e. for 203,235,358 is 17078390
GCF of denominators i.e. for 10,86,588 is 2.
Thus, LCM of Fractions is 8539195.Finally, LCM of Fractions for 203/10, 235/86, 358/588 is 8539195.