Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 790/832, 3173/481 quickly i.e. 2506670/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 790/832, 3173/481 is 2506670/13.
LCM(790/832, 3173/481) = 2506670/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 790/832,3173/481
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 790,3173
Least Common Multiple of Numerators i.e. LCM of 790,3173 is 2506670.
GCF of Denominators means GCF of 832,481 as per the given fractions.
GCF of 832,481 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 790,3173
Given numbers has no common factors except 1. So, there LCM is their product i.e 2506670
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 790,3173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,3173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,3173) x common factors =1 x 1 = 1
LCM(790,3173) = ( 790 × 3173 ) / 1
LCM(790,3173) = 2506670 / 1
LCM(790,3173) = 2506670
Lets's calculate GCF of 832,481
13 | 832, 481 |
64, 37 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2506670/13
Therefore the LCM of Fractions 790/832,3173/481 is 2506670/13
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 832,481 . The biggest common factor number is the GCF number.
So the greatest common factor 832,481 is 13.
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 790/832, 3173/481?
Answer: LCM of Numerators as per given numbers 790/832, 3173/481 is
LCM of Numerators i.e. for 790,3173 is 2506670
GCF of denominators i.e. for 832,481 is 13.
Thus, LCM of Fractions is 2506670/13.Finally, LCM of Fractions for 790/832, 3173/481 is 2506670/13.