Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/815, 46/858, 401/416 quickly i.e. 1014530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/815, 46/858, 401/416 is 1014530.
LCM(55/815, 46/858, 401/416) = 1014530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/815,46/858,401/416
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 55,46,401
Least Common Multiple of Numerators i.e. LCM of 55,46,401 is 1014530.
GCF of Denominators means GCF of 815,858,416 as per the given fractions.
GCF of 815,858,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,46,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014530
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 55,46,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,46,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,46,401) x common factors =1 x 1 = 1
LCM(55,46,401) = ( 55 × 46 × 401 ) / 1
LCM(55,46,401) = 1014530 / 1
LCM(55,46,401) = 1014530
Lets's calculate GCF of 815,858,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1014530/1
Therefore the LCM of Fractions 55/815,46/858,401/416 is 1014530
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 815,858,416 . The biggest common factor number is the GCF number.
So the greatest common factor 815,858,416 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 55/815, 46/858, 401/416?
Answer: LCM of Numerators as per given numbers 55/815, 46/858, 401/416 is
LCM of Numerators i.e. for 55,46,401 is 1014530
GCF of denominators i.e. for 815,858,416 is 1.
Thus, LCM of Fractions is 1014530.Finally, LCM of Fractions for 55/815, 46/858, 401/416 is 1014530.