Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/789, 785/857, 836/482 quickly i.e. 20344060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/789, 785/857, 836/482 is 20344060.
LCM(62/789, 785/857, 836/482) = 20344060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/789,785/857,836/482
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 62,785,836
Least Common Multiple of Numerators i.e. LCM of 62,785,836 is 20344060.
GCF of Denominators means GCF of 789,857,482 as per the given fractions.
GCF of 789,857,482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,785,836
2 | 62, 785, 836 |
31, 785, 418 |
∴ So the LCM of the given numbers is 2 x 31 x 785 x 418 = 20344060
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 62,785,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,785,836) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,785,836) x common factors =1 x 2 = 2
LCM(62,785,836) = ( 62 × 785 × 836 ) / 2
LCM(62,785,836) = 40688120 / 2
LCM(62,785,836) = 20344060
Lets's calculate GCF of 789,857,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20344060/1
Therefore the LCM of Fractions 62/789,785/857,836/482 is 20344060
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 789,857,482 . The biggest common factor number is the GCF number.
So the greatest common factor 789,857,482 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 62/789, 785/857, 836/482?
Answer: LCM of Numerators as per given numbers 62/789, 785/857, 836/482 is
LCM of Numerators i.e. for 62,785,836 is 20344060
GCF of denominators i.e. for 789,857,482 is 1.
Thus, LCM of Fractions is 20344060.Finally, LCM of Fractions for 62/789, 785/857, 836/482 is 20344060.