Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 765/884, 3627/218 quickly i.e. 308295/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 765/884, 3627/218 is 308295/2.
LCM(765/884, 3627/218) = 308295/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 765/884,3627/218
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 765,3627
Least Common Multiple of Numerators i.e. LCM of 765,3627 is 308295.
GCF of Denominators means GCF of 884,218 as per the given fractions.
GCF of 884,218 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 765,3627
3 | 765, 3627 |
3 | 255, 1209 |
85, 403 |
∴ So the LCM of the given numbers is 3 x 3 x 85 x 403 = 308295
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 765,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,3627) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(765,3627) x common factors =9 x 1 = 9
LCM(765,3627) = ( 765 × 3627 ) / 9
LCM(765,3627) = 2774655 / 9
LCM(765,3627) = 308295
Lets's calculate GCF of 884,218
2 | 884, 218 |
442, 109 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308295/2
Therefore the LCM of Fractions 765/884,3627/218 is 308295/2
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 884,218 . The biggest common factor number is the GCF number.
So the greatest common factor 884,218 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 765/884, 3627/218?
Answer: LCM of Numerators as per given numbers 765/884, 3627/218 is
LCM of Numerators i.e. for 765,3627 is 308295
GCF of denominators i.e. for 884,218 is 2.
Thus, LCM of Fractions is 308295/2.Finally, LCM of Fractions for 765/884, 3627/218 is 308295/2.