Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 636/346, 866/919 quickly i.e. 275388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 636/346, 866/919 is 275388.
LCM(636/346, 866/919) = 275388
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 636/346,866/919
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 636,866
Least Common Multiple of Numerators i.e. LCM of 636,866 is 275388.
GCF of Denominators means GCF of 346,919 as per the given fractions.
GCF of 346,919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 636,866
2 | 636, 866 |
318, 433 |
∴ So the LCM of the given numbers is 2 x 318 x 433 = 275388
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 636,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(636,866) x common factors =2 x 1 = 2
LCM(636,866) = ( 636 × 866 ) / 2
LCM(636,866) = 550776 / 2
LCM(636,866) = 275388
Lets's calculate GCF of 346,919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275388/1
Therefore the LCM of Fractions 636/346,866/919 is 275388
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Greatest Common Factor
We found the factors 346,919 . The biggest common factor number is the GCF number.
So the greatest common factor 346,919 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 636/346, 866/919?
Answer: LCM of Numerators as per given numbers 636/346, 866/919 is
LCM of Numerators i.e. for 636,866 is 275388
GCF of denominators i.e. for 346,919 is 1.
Thus, LCM of Fractions is 275388.Finally, LCM of Fractions for 636/346, 866/919 is 275388.