Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/398, 68/939, 889/113 quickly i.e. 5259324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/398, 68/939, 889/113 is 5259324.
LCM(87/398, 68/939, 889/113) = 5259324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/398,68/939,889/113
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 87,68,889
Least Common Multiple of Numerators i.e. LCM of 87,68,889 is 5259324.
GCF of Denominators means GCF of 398,939,113 as per the given fractions.
GCF of 398,939,113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,68,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 5259324
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 87,68,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,68,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,68,889) x common factors =1 x 1 = 1
LCM(87,68,889) = ( 87 × 68 × 889 ) / 1
LCM(87,68,889) = 5259324 / 1
LCM(87,68,889) = 5259324
Lets's calculate GCF of 398,939,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5259324/1
Therefore the LCM of Fractions 87/398,68/939,889/113 is 5259324
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 398,939,113 . The biggest common factor number is the GCF number.
So the greatest common factor 398,939,113 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 87/398, 68/939, 889/113?
Answer: LCM of Numerators as per given numbers 87/398, 68/939, 889/113 is
LCM of Numerators i.e. for 87,68,889 is 5259324
GCF of denominators i.e. for 398,939,113 is 1.
Thus, LCM of Fractions is 5259324.Finally, LCM of Fractions for 87/398, 68/939, 889/113 is 5259324.