Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/508, 588/788, 173/237 quickly i.e. 508620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/508, 588/788, 173/237 is 508620.
LCM(15/508, 588/788, 173/237) = 508620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/508,588/788,173/237
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 15,588,173
Least Common Multiple of Numerators i.e. LCM of 15,588,173 is 508620.
GCF of Denominators means GCF of 508,788,237 as per the given fractions.
GCF of 508,788,237 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,588,173
3 | 15, 588, 173 |
5, 196, 173 |
∴ So the LCM of the given numbers is 3 x 5 x 196 x 173 = 508620
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 15,588,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,588,173) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,588,173) x common factors =1 x 3 = 3
LCM(15,588,173) = ( 15 × 588 × 173 ) / 3
LCM(15,588,173) = 1525860 / 3
LCM(15,588,173) = 508620
Lets's calculate GCF of 508,788,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508620/1
Therefore the LCM of Fractions 15/508,588/788,173/237 is 508620
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 508,788,237 . The biggest common factor number is the GCF number.
So the greatest common factor 508,788,237 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 15/508, 588/788, 173/237?
Answer: LCM of Numerators as per given numbers 15/508, 588/788, 173/237 is
LCM of Numerators i.e. for 15,588,173 is 508620
GCF of denominators i.e. for 508,788,237 is 1.
Thus, LCM of Fractions is 508620.Finally, LCM of Fractions for 15/508, 588/788, 173/237 is 508620.