Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/968, 59/901, 87/442 quickly i.e. 5133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/968, 59/901, 87/442 is 5133.
LCM(1/968, 59/901, 87/442) = 5133
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/968,59/901,87/442
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 1,59,87
Least Common Multiple of Numerators i.e. LCM of 1,59,87 is 5133.
GCF of Denominators means GCF of 968,901,442 as per the given fractions.
GCF of 968,901,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,59,87
Given numbers has no common factors except 1. So, there LCM is their product i.e 5133
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 1,59,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,59,87) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,59,87) x common factors =1 x 1 = 1
LCM(1,59,87) = ( 1 × 59 × 87 ) / 1
LCM(1,59,87) = 5133 / 1
LCM(1,59,87) = 5133
Lets's calculate GCF of 968,901,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5133/1
Therefore the LCM of Fractions 1/968,59/901,87/442 is 5133
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 968,901,442 . The biggest common factor number is the GCF number.
So the greatest common factor 968,901,442 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 1/968, 59/901, 87/442?
Answer: LCM of Numerators as per given numbers 1/968, 59/901, 87/442 is
LCM of Numerators i.e. for 1,59,87 is 5133
GCF of denominators i.e. for 968,901,442 is 1.
Thus, LCM of Fractions is 5133.Finally, LCM of Fractions for 1/968, 59/901, 87/442 is 5133.