Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/509, 91/496, 239/218 quickly i.e. 43498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/509, 91/496, 239/218 is 43498.
LCM(14/509, 91/496, 239/218) = 43498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/509,91/496,239/218
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 14,91,239
Least Common Multiple of Numerators i.e. LCM of 14,91,239 is 43498.
GCF of Denominators means GCF of 509,496,218 as per the given fractions.
GCF of 509,496,218 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,91,239
7 | 14, 91, 239 |
2, 13, 239 |
∴ So the LCM of the given numbers is 7 x 2 x 13 x 239 = 43498
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 14,91,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,91,239) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(14,91,239) x common factors =1 x 7 = 7
LCM(14,91,239) = ( 14 × 91 × 239 ) / 7
LCM(14,91,239) = 304486 / 7
LCM(14,91,239) = 43498
Lets's calculate GCF of 509,496,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43498/1
Therefore the LCM of Fractions 14/509,91/496,239/218 is 43498
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 509,496,218 . The biggest common factor number is the GCF number.
So the greatest common factor 509,496,218 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 14/509, 91/496, 239/218?
Answer: LCM of Numerators as per given numbers 14/509, 91/496, 239/218 is
LCM of Numerators i.e. for 14,91,239 is 43498
GCF of denominators i.e. for 509,496,218 is 1.
Thus, LCM of Fractions is 43498.Finally, LCM of Fractions for 14/509, 91/496, 239/218 is 43498.