Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 248/52, 976/4468 quickly i.e. 7564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 248/52, 976/4468 is 7564.
LCM(248/52, 976/4468) = 7564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 248/52,976/4468
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 248,976
Least Common Multiple of Numerators i.e. LCM of 248,976 is 30256.
GCF of Denominators means GCF of 52,4468 as per the given fractions.
GCF of 52,4468 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 248,976
2 | 248, 976 |
2 | 124, 488 |
2 | 62, 244 |
31, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 122 = 30256
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 248,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,976) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(248,976) x common factors =8 x 1 = 8
LCM(248,976) = ( 248 × 976 ) / 8
LCM(248,976) = 242048 / 8
LCM(248,976) = 30256
Lets's calculate GCF of 52,4468
2 | 52, 4468 |
2 | 26, 2234 |
13, 1117 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30256/4
Therefore the LCM of Fractions 248/52,976/4468 is 7564
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 4468
List of positive integer factors of 4468 that divides 4468 without a remainder.
1,2,4,1117,2234,4468
Greatest Common Factor
We found the factors 52,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4468 is 4.
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 248/52, 976/4468?
Answer: LCM of Numerators as per given numbers 248/52, 976/4468 is
LCM of Numerators i.e. for 248,976 is 30256
GCF of denominators i.e. for 52,4468 is 4.
Thus, LCM of Fractions is 7564.Finally, LCM of Fractions for 248/52, 976/4468 is 7564.