Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3216/249, 7829/2088 quickly i.e. 8392688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3216/249, 7829/2088 is 8392688.
LCM(3216/249, 7829/2088) = 8392688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3216/249,7829/2088
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 3216,7829
Least Common Multiple of Numerators i.e. LCM of 3216,7829 is 25178064.
GCF of Denominators means GCF of 249,2088 as per the given fractions.
GCF of 249,2088 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3216,7829
Given numbers has no common factors except 1. So, there LCM is their product i.e 25178064
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 3216,7829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3216,7829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3216,7829) x common factors =1 x 1 = 1
LCM(3216,7829) = ( 3216 × 7829 ) / 1
LCM(3216,7829) = 25178064 / 1
LCM(3216,7829) = 25178064
Lets's calculate GCF of 249,2088
3 | 249, 2088 |
83, 696 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25178064/3
Therefore the LCM of Fractions 3216/249,7829/2088 is 8392688
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 2088
List of positive integer factors of 2088 that divides 2088 without a remainder.
1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Greatest Common Factor
We found the factors 249,2088 . The biggest common factor number is the GCF number.
So the greatest common factor 249,2088 is 3.
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 3216/249, 7829/2088?
Answer: LCM of Numerators as per given numbers 3216/249, 7829/2088 is
LCM of Numerators i.e. for 3216,7829 is 25178064
GCF of denominators i.e. for 249,2088 is 3.
Thus, LCM of Fractions is 8392688.Finally, LCM of Fractions for 3216/249, 7829/2088 is 8392688.