Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/258, 25/212, 158/519 quickly i.e. 31600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/258, 25/212, 158/519 is 31600.
LCM(16/258, 25/212, 158/519) = 31600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/258,25/212,158/519
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 16,25,158
Least Common Multiple of Numerators i.e. LCM of 16,25,158 is 31600.
GCF of Denominators means GCF of 258,212,519 as per the given fractions.
GCF of 258,212,519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,25,158
2 | 16, 25, 158 |
8, 25, 79 |
∴ So the LCM of the given numbers is 2 x 8 x 25 x 79 = 31600
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 16,25,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,25,158) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,25,158) x common factors =1 x 2 = 2
LCM(16,25,158) = ( 16 × 25 × 158 ) / 2
LCM(16,25,158) = 63200 / 2
LCM(16,25,158) = 31600
Lets's calculate GCF of 258,212,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31600/1
Therefore the LCM of Fractions 16/258,25/212,158/519 is 31600
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 258,212,519 . The biggest common factor number is the GCF number.
So the greatest common factor 258,212,519 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 16/258, 25/212, 158/519?
Answer: LCM of Numerators as per given numbers 16/258, 25/212, 158/519 is
LCM of Numerators i.e. for 16,25,158 is 31600
GCF of denominators i.e. for 258,212,519 is 1.
Thus, LCM of Fractions is 31600.Finally, LCM of Fractions for 16/258, 25/212, 158/519 is 31600.