Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 583/26, 770/7357 quickly i.e. 40810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 583/26, 770/7357 is 40810.
LCM(583/26, 770/7357) = 40810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 583/26,770/7357
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 583,770
Least Common Multiple of Numerators i.e. LCM of 583,770 is 40810.
GCF of Denominators means GCF of 26,7357 as per the given fractions.
GCF of 26,7357 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 583,770
11 | 583, 770 |
53, 70 |
∴ So the LCM of the given numbers is 11 x 53 x 70 = 40810
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 583,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,770) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(583,770) x common factors =11 x 1 = 11
LCM(583,770) = ( 583 × 770 ) / 11
LCM(583,770) = 448910 / 11
LCM(583,770) = 40810
Lets's calculate GCF of 26,7357
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40810/1
Therefore the LCM of Fractions 583/26,770/7357 is 40810
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 7357
List of positive integer factors of 7357 that divides 7357 without a remainder.
1,7,1051,7357
Greatest Common Factor
We found the factors 26,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7357 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 583/26, 770/7357?
Answer: LCM of Numerators as per given numbers 583/26, 770/7357 is
LCM of Numerators i.e. for 583,770 is 40810
GCF of denominators i.e. for 26,7357 is 1.
Thus, LCM of Fractions is 40810.Finally, LCM of Fractions for 583/26, 770/7357 is 40810.