Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/48, 816/89, 937/805 quickly i.e. 22173168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/48, 816/89, 937/805 is 22173168.
LCM(58/48, 816/89, 937/805) = 22173168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/48,816/89,937/805
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 58,816,937
Least Common Multiple of Numerators i.e. LCM of 58,816,937 is 22173168.
GCF of Denominators means GCF of 48,89,805 as per the given fractions.
GCF of 48,89,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,816,937
2 | 58, 816, 937 |
29, 408, 937 |
∴ So the LCM of the given numbers is 2 x 29 x 408 x 937 = 22173168
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 58,816,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,816,937) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,816,937) x common factors =1 x 2 = 2
LCM(58,816,937) = ( 58 × 816 × 937 ) / 2
LCM(58,816,937) = 44346336 / 2
LCM(58,816,937) = 22173168
Lets's calculate GCF of 48,89,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22173168/1
Therefore the LCM of Fractions 58/48,816/89,937/805 is 22173168
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 48,89,805 . The biggest common factor number is the GCF number.
So the greatest common factor 48,89,805 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 58/48, 816/89, 937/805?
Answer: LCM of Numerators as per given numbers 58/48, 816/89, 937/805 is
LCM of Numerators i.e. for 58,816,937 is 22173168
GCF of denominators i.e. for 48,89,805 is 1.
Thus, LCM of Fractions is 22173168.Finally, LCM of Fractions for 58/48, 816/89, 937/805 is 22173168.