Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/994, 3022/8698 quickly i.e. 43819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/994, 3022/8698 is 43819.
LCM(58/994, 3022/8698) = 43819
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/994,3022/8698
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 58,3022
Least Common Multiple of Numerators i.e. LCM of 58,3022 is 87638.
GCF of Denominators means GCF of 994,8698 as per the given fractions.
GCF of 994,8698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,3022
2 | 58, 3022 |
29, 1511 |
∴ So the LCM of the given numbers is 2 x 29 x 1511 = 87638
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 58,3022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,3022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,3022) x common factors =2 x 1 = 2
LCM(58,3022) = ( 58 × 3022 ) / 2
LCM(58,3022) = 175276 / 2
LCM(58,3022) = 87638
Lets's calculate GCF of 994,8698
2 | 994, 8698 |
497, 4349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87638/2
Therefore the LCM of Fractions 58/994,3022/8698 is 43819
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 8698
List of positive integer factors of 8698 that divides 8698 without a remainder.
1,2,4349,8698
Greatest Common Factor
We found the factors 994,8698 . The biggest common factor number is the GCF number.
So the greatest common factor 994,8698 is 2.
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 58/994, 3022/8698?
Answer: LCM of Numerators as per given numbers 58/994, 3022/8698 is
LCM of Numerators i.e. for 58,3022 is 87638
GCF of denominators i.e. for 994,8698 is 2.
Thus, LCM of Fractions is 43819.Finally, LCM of Fractions for 58/994, 3022/8698 is 43819.