Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5768/290, 6655/248 quickly i.e. 19193020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5768/290, 6655/248 is 19193020.
LCM(5768/290, 6655/248) = 19193020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5768/290,6655/248
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 5768,6655
Least Common Multiple of Numerators i.e. LCM of 5768,6655 is 38386040.
GCF of Denominators means GCF of 290,248 as per the given fractions.
GCF of 290,248 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5768,6655
Given numbers has no common factors except 1. So, there LCM is their product i.e 38386040
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 5768,6655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5768,6655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5768,6655) x common factors =1 x 1 = 1
LCM(5768,6655) = ( 5768 × 6655 ) / 1
LCM(5768,6655) = 38386040 / 1
LCM(5768,6655) = 38386040
Lets's calculate GCF of 290,248
2 | 290, 248 |
145, 124 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38386040/2
Therefore the LCM of Fractions 5768/290,6655/248 is 19193020
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 290,248 . The biggest common factor number is the GCF number.
So the greatest common factor 290,248 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 5768/290, 6655/248?
Answer: LCM of Numerators as per given numbers 5768/290, 6655/248 is
LCM of Numerators i.e. for 5768,6655 is 38386040
GCF of denominators i.e. for 290,248 is 2.
Thus, LCM of Fractions is 19193020.Finally, LCM of Fractions for 5768/290, 6655/248 is 19193020.