Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 597/58, 769/2685 quickly i.e. 459093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 597/58, 769/2685 is 459093.
LCM(597/58, 769/2685) = 459093
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 597/58,769/2685
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 597,769
Least Common Multiple of Numerators i.e. LCM of 597,769 is 459093.
GCF of Denominators means GCF of 58,2685 as per the given fractions.
GCF of 58,2685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 597,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 459093
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 597,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,769) x common factors =1 x 1 = 1
LCM(597,769) = ( 597 × 769 ) / 1
LCM(597,769) = 459093 / 1
LCM(597,769) = 459093
Lets's calculate GCF of 58,2685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459093/1
Therefore the LCM of Fractions 597/58,769/2685 is 459093
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 2685
List of positive integer factors of 2685 that divides 2685 without a remainder.
1,3,5,15,179,537,895,2685
Greatest Common Factor
We found the factors 58,2685 . The biggest common factor number is the GCF number.
So the greatest common factor 58,2685 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 597/58, 769/2685?
Answer: LCM of Numerators as per given numbers 597/58, 769/2685 is
LCM of Numerators i.e. for 597,769 is 459093
GCF of denominators i.e. for 58,2685 is 1.
Thus, LCM of Fractions is 459093.Finally, LCM of Fractions for 597/58, 769/2685 is 459093.