Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/337, 845/814, 636/789 quickly i.e. 32782620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/337, 845/814, 636/789 is 32782620.
LCM(61/337, 845/814, 636/789) = 32782620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/337,845/814,636/789
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 61,845,636
Least Common Multiple of Numerators i.e. LCM of 61,845,636 is 32782620.
GCF of Denominators means GCF of 337,814,789 as per the given fractions.
GCF of 337,814,789 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,845,636
Given numbers has no common factors except 1. So, there LCM is their product i.e 32782620
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 61,845,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,845,636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,845,636) x common factors =1 x 1 = 1
LCM(61,845,636) = ( 61 × 845 × 636 ) / 1
LCM(61,845,636) = 32782620 / 1
LCM(61,845,636) = 32782620
Lets's calculate GCF of 337,814,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32782620/1
Therefore the LCM of Fractions 61/337,845/814,636/789 is 32782620
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 337,814,789 . The biggest common factor number is the GCF number.
So the greatest common factor 337,814,789 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 61/337, 845/814, 636/789?
Answer: LCM of Numerators as per given numbers 61/337, 845/814, 636/789 is
LCM of Numerators i.e. for 61,845,636 is 32782620
GCF of denominators i.e. for 337,814,789 is 1.
Thus, LCM of Fractions is 32782620.Finally, LCM of Fractions for 61/337, 845/814, 636/789 is 32782620.