Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/388, 996/968, 212/581 quickly i.e. 1530852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/388, 996/968, 212/581 is 1530852.
LCM(58/388, 996/968, 212/581) = 1530852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/388,996/968,212/581
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 58,996,212
Least Common Multiple of Numerators i.e. LCM of 58,996,212 is 1530852.
GCF of Denominators means GCF of 388,968,581 as per the given fractions.
GCF of 388,968,581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,996,212
2 | 58, 996, 212 |
2 | 29, 498, 106 |
29, 249, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 249 x 53 = 1530852
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 58,996,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,996,212) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(58,996,212) x common factors =2 x 4 = 8
LCM(58,996,212) = ( 58 × 996 × 212 ) / 8
LCM(58,996,212) = 12246816 / 8
LCM(58,996,212) = 1530852
Lets's calculate GCF of 388,968,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1530852/1
Therefore the LCM of Fractions 58/388,996/968,212/581 is 1530852
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
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 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 388,968,581 . The biggest common factor number is the GCF number.
So the greatest common factor 388,968,581 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 58/388, 996/968, 212/581?
Answer: LCM of Numerators as per given numbers 58/388, 996/968, 212/581 is
LCM of Numerators i.e. for 58,996,212 is 1530852
GCF of denominators i.e. for 388,968,581 is 1.
Thus, LCM of Fractions is 1530852.Finally, LCM of Fractions for 58/388, 996/968, 212/581 is 1530852.