Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/405, 58/361, 91/598 quickly i.e. 5278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/405, 58/361, 91/598 is 5278.
LCM(7/405, 58/361, 91/598) = 5278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/405,58/361,91/598
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 7,58,91
Least Common Multiple of Numerators i.e. LCM of 7,58,91 is 5278.
GCF of Denominators means GCF of 405,361,598 as per the given fractions.
GCF of 405,361,598 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,58,91
7 | 7, 58, 91 |
1, 58, 13 |
∴ So the LCM of the given numbers is 7 x 1 x 58 x 13 = 5278
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 7,58,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,58,91) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(7,58,91) x common factors =1 x 7 = 7
LCM(7,58,91) = ( 7 × 58 × 91 ) / 7
LCM(7,58,91) = 36946 / 7
LCM(7,58,91) = 5278
Lets's calculate GCF of 405,361,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5278/1
Therefore the LCM of Fractions 7/405,58/361,91/598 is 5278
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 405,361,598 . The biggest common factor number is the GCF number.
So the greatest common factor 405,361,598 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 7/405, 58/361, 91/598?
Answer: LCM of Numerators as per given numbers 7/405, 58/361, 91/598 is
LCM of Numerators i.e. for 7,58,91 is 5278
GCF of denominators i.e. for 405,361,598 is 1.
Thus, LCM of Fractions is 5278.Finally, LCM of Fractions for 7/405, 58/361, 91/598 is 5278.