Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/398, 899/359, 162/886 quickly i.e. 13253058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/398, 899/359, 162/886 is 13253058.
LCM(91/398, 899/359, 162/886) = 13253058
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/398,899/359,162/886
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 91,899,162
Least Common Multiple of Numerators i.e. LCM of 91,899,162 is 13253058.
GCF of Denominators means GCF of 398,359,886 as per the given fractions.
GCF of 398,359,886 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,899,162
Given numbers has no common factors except 1. So, there LCM is their product i.e 13253058
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 91,899,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,899,162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,899,162) x common factors =1 x 1 = 1
LCM(91,899,162) = ( 91 × 899 × 162 ) / 1
LCM(91,899,162) = 13253058 / 1
LCM(91,899,162) = 13253058
Lets's calculate GCF of 398,359,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13253058/1
Therefore the LCM of Fractions 91/398,899/359,162/886 is 13253058
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 398,359,886 . The biggest common factor number is the GCF number.
So the greatest common factor 398,359,886 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 91/398, 899/359, 162/886?
Answer: LCM of Numerators as per given numbers 91/398, 899/359, 162/886 is
LCM of Numerators i.e. for 91,899,162 is 13253058
GCF of denominators i.e. for 398,359,886 is 1.
Thus, LCM of Fractions is 13253058.Finally, LCM of Fractions for 91/398, 899/359, 162/886 is 13253058.