Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 497/18, 575/37, 659/236 quickly i.e. 188325725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 497/18, 575/37, 659/236 is 188325725.
LCM(497/18, 575/37, 659/236) = 188325725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 497/18,575/37,659/236
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 497,575,659
Least Common Multiple of Numerators i.e. LCM of 497,575,659 is 188325725.
GCF of Denominators means GCF of 18,37,236 as per the given fractions.
GCF of 18,37,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 497,575,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 188325725
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 497,575,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,575,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,575,659) x common factors =1 x 1 = 1
LCM(497,575,659) = ( 497 × 575 × 659 ) / 1
LCM(497,575,659) = 188325725 / 1
LCM(497,575,659) = 188325725
Lets's calculate GCF of 18,37,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188325725/1
Therefore the LCM of Fractions 497/18,575/37,659/236 is 188325725
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 18,37,236 . The biggest common factor number is the GCF number.
So the greatest common factor 18,37,236 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 497/18, 575/37, 659/236?
Answer: LCM of Numerators as per given numbers 497/18, 575/37, 659/236 is
LCM of Numerators i.e. for 497,575,659 is 188325725
GCF of denominators i.e. for 18,37,236 is 1.
Thus, LCM of Fractions is 188325725.Finally, LCM of Fractions for 497/18, 575/37, 659/236 is 188325725.