Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 848/55, 502/2409 quickly i.e. 212848/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 848/55, 502/2409 is 212848/11.
LCM(848/55, 502/2409) = 212848/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 848/55,502/2409
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 848,502
Least Common Multiple of Numerators i.e. LCM of 848,502 is 212848.
GCF of Denominators means GCF of 55,2409 as per the given fractions.
GCF of 55,2409 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 848,502
2 | 848, 502 |
424, 251 |
∴ So the LCM of the given numbers is 2 x 424 x 251 = 212848
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 848,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,502) x common factors =2 x 1 = 2
LCM(848,502) = ( 848 × 502 ) / 2
LCM(848,502) = 425696 / 2
LCM(848,502) = 212848
Lets's calculate GCF of 55,2409
11 | 55, 2409 |
5, 219 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212848/11
Therefore the LCM of Fractions 848/55,502/2409 is 212848/11
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 2409
List of positive integer factors of 2409 that divides 2409 without a remainder.
1,3,11,33,73,219,803,2409
Greatest Common Factor
We found the factors 55,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 55,2409 is 11.
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 848/55, 502/2409?
Answer: LCM of Numerators as per given numbers 848/55, 502/2409 is
LCM of Numerators i.e. for 848,502 is 212848
GCF of denominators i.e. for 55,2409 is 11.
Thus, LCM of Fractions is 212848/11.Finally, LCM of Fractions for 848/55, 502/2409 is 212848/11.