Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/913, 986/978, 275/445 quickly i.e. 11659450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/913, 986/978, 275/445 is 11659450.
LCM(86/913, 986/978, 275/445) = 11659450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/913,986/978,275/445
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 86,986,275
Least Common Multiple of Numerators i.e. LCM of 86,986,275 is 11659450.
GCF of Denominators means GCF of 913,978,445 as per the given fractions.
GCF of 913,978,445 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,986,275
2 | 86, 986, 275 |
43, 493, 275 |
∴ So the LCM of the given numbers is 2 x 43 x 493 x 275 = 11659450
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 86,986,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,986,275) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,986,275) x common factors =1 x 2 = 2
LCM(86,986,275) = ( 86 × 986 × 275 ) / 2
LCM(86,986,275) = 23318900 / 2
LCM(86,986,275) = 11659450
Lets's calculate GCF of 913,978,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11659450/1
Therefore the LCM of Fractions 86/913,986/978,275/445 is 11659450
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 913,978,445 . The biggest common factor number is the GCF number.
So the greatest common factor 913,978,445 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 86/913, 986/978, 275/445?
Answer: LCM of Numerators as per given numbers 86/913, 986/978, 275/445 is
LCM of Numerators i.e. for 86,986,275 is 11659450
GCF of denominators i.e. for 913,978,445 is 1.
Thus, LCM of Fractions is 11659450.Finally, LCM of Fractions for 86/913, 986/978, 275/445 is 11659450.