Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/772, 8088/2249 quickly i.e. 169848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/772, 8088/2249 is 169848.
LCM(63/772, 8088/2249) = 169848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/772,8088/2249
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 63,8088
Least Common Multiple of Numerators i.e. LCM of 63,8088 is 169848.
GCF of Denominators means GCF of 772,2249 as per the given fractions.
GCF of 772,2249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,8088
3 | 63, 8088 |
21, 2696 |
∴ So the LCM of the given numbers is 3 x 21 x 2696 = 169848
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 63,8088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,8088) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,8088) x common factors =3 x 1 = 3
LCM(63,8088) = ( 63 × 8088 ) / 3
LCM(63,8088) = 509544 / 3
LCM(63,8088) = 169848
Lets's calculate GCF of 772,2249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169848/1
Therefore the LCM of Fractions 63/772,8088/2249 is 169848
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 2249
List of positive integer factors of 2249 that divides 2249 without a remainder.
1,13,173,2249
Greatest Common Factor
We found the factors 772,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 772,2249 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 63/772, 8088/2249?
Answer: LCM of Numerators as per given numbers 63/772, 8088/2249 is
LCM of Numerators i.e. for 63,8088 is 169848
GCF of denominators i.e. for 772,2249 is 1.
Thus, LCM of Fractions is 169848.Finally, LCM of Fractions for 63/772, 8088/2249 is 169848.