Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4461/632, 8218/538 quickly i.e. 18330249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4461/632, 8218/538 is 18330249.
LCM(4461/632, 8218/538) = 18330249
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4461/632,8218/538
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 4461,8218
Least Common Multiple of Numerators i.e. LCM of 4461,8218 is 36660498.
GCF of Denominators means GCF of 632,538 as per the given fractions.
GCF of 632,538 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4461,8218
Given numbers has no common factors except 1. So, there LCM is their product i.e 36660498
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 4461,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4461,8218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4461,8218) x common factors =1 x 1 = 1
LCM(4461,8218) = ( 4461 × 8218 ) / 1
LCM(4461,8218) = 36660498 / 1
LCM(4461,8218) = 36660498
Lets's calculate GCF of 632,538
2 | 632, 538 |
316, 269 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36660498/2
Therefore the LCM of Fractions 4461/632,8218/538 is 18330249
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Greatest Common Factor
We found the factors 632,538 . The biggest common factor number is the GCF number.
So the greatest common factor 632,538 is 2.
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 4461/632, 8218/538?
Answer: LCM of Numerators as per given numbers 4461/632, 8218/538 is
LCM of Numerators i.e. for 4461,8218 is 36660498
GCF of denominators i.e. for 632,538 is 2.
Thus, LCM of Fractions is 18330249.Finally, LCM of Fractions for 4461/632, 8218/538 is 18330249.