Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/635, 641/614, 218/463 quickly i.e. 11318778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/635, 641/614, 218/463 is 11318778.
LCM(81/635, 641/614, 218/463) = 11318778
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/635,641/614,218/463
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 81,641,218
Least Common Multiple of Numerators i.e. LCM of 81,641,218 is 11318778.
GCF of Denominators means GCF of 635,614,463 as per the given fractions.
GCF of 635,614,463 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,641,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 11318778
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 81,641,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,641,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,641,218) x common factors =1 x 1 = 1
LCM(81,641,218) = ( 81 × 641 × 218 ) / 1
LCM(81,641,218) = 11318778 / 1
LCM(81,641,218) = 11318778
Lets's calculate GCF of 635,614,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11318778/1
Therefore the LCM of Fractions 81/635,641/614,218/463 is 11318778
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 635,614,463 . The biggest common factor number is the GCF number.
So the greatest common factor 635,614,463 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 81/635, 641/614, 218/463?
Answer: LCM of Numerators as per given numbers 81/635, 641/614, 218/463 is
LCM of Numerators i.e. for 81,641,218 is 11318778
GCF of denominators i.e. for 635,614,463 is 1.
Thus, LCM of Fractions is 11318778.Finally, LCM of Fractions for 81/635, 641/614, 218/463 is 11318778.