Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/818, 86/299, 401/179 quickly i.e. 34486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/818, 86/299, 401/179 is 34486.
LCM(86/818, 86/299, 401/179) = 34486
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/818,86/299,401/179
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 86,86,401
Least Common Multiple of Numerators i.e. LCM of 86,86,401 is 34486.
GCF of Denominators means GCF of 818,299,179 as per the given fractions.
GCF of 818,299,179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,86,401
2 | 86, 86, 401 |
43 | 43, 43, 401 |
1, 1, 401 |
∴ So the LCM of the given numbers is 2 x 43 x 1 x 1 x 401 = 34486
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 86,86,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,86,401) = 1
common factors(in case of two or more numbers have common factors) = 86
GCF(86,86,401) x common factors =1 x 86 = 86
LCM(86,86,401) = ( 86 × 86 × 401 ) / 86
LCM(86,86,401) = 2965796 / 86
LCM(86,86,401) = 34486
Lets's calculate GCF of 818,299,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34486/1
Therefore the LCM of Fractions 86/818,86/299,401/179 is 34486
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 818,299,179 . The biggest common factor number is the GCF number.
So the greatest common factor 818,299,179 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 86/818, 86/299, 401/179?
Answer: LCM of Numerators as per given numbers 86/818, 86/299, 401/179 is
LCM of Numerators i.e. for 86,86,401 is 34486
GCF of denominators i.e. for 818,299,179 is 1.
Thus, LCM of Fractions is 34486.Finally, LCM of Fractions for 86/818, 86/299, 401/179 is 34486.