Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 577/26, 797/89, 306/842 quickly i.e. 140719914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 577/26, 797/89, 306/842 is 140719914.
LCM(577/26, 797/89, 306/842) = 140719914
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 577/26,797/89,306/842
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 577,797,306
Least Common Multiple of Numerators i.e. LCM of 577,797,306 is 140719914.
GCF of Denominators means GCF of 26,89,842 as per the given fractions.
GCF of 26,89,842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 577,797,306
Given numbers has no common factors except 1. So, there LCM is their product i.e 140719914
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 577,797,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,797,306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,797,306) x common factors =1 x 1 = 1
LCM(577,797,306) = ( 577 × 797 × 306 ) / 1
LCM(577,797,306) = 140719914 / 1
LCM(577,797,306) = 140719914
Lets's calculate GCF of 26,89,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140719914/1
Therefore the LCM of Fractions 577/26,797/89,306/842 is 140719914
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 26,89,842 . The biggest common factor number is the GCF number.
So the greatest common factor 26,89,842 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 577/26, 797/89, 306/842?
Answer: LCM of Numerators as per given numbers 577/26, 797/89, 306/842 is
LCM of Numerators i.e. for 577,797,306 is 140719914
GCF of denominators i.e. for 26,89,842 is 1.
Thus, LCM of Fractions is 140719914.Finally, LCM of Fractions for 577/26, 797/89, 306/842 is 140719914.