Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/522, 41/348 quickly i.e. 1968/174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/522, 41/348 is 1968/174.
LCM(48/522, 41/348) = 1968/174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/522,41/348
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 48,41
Least Common Multiple of Numerators i.e. LCM of 48,41 is 1968.
GCF of Denominators means GCF of 522,348 as per the given fractions.
GCF of 522,348 is 174 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,41
Given numbers has no common factors except 1. So, there LCM is their product i.e 1968
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 48,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,41) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,41) x common factors =1 x 1 = 1
LCM(48,41) = ( 48 × 41 ) / 1
LCM(48,41) = 1968 / 1
LCM(48,41) = 1968
Lets's calculate GCF of 522,348
2 | 522, 348 |
3 | 261, 174 |
29 | 87, 58 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 3 x 29 = 174
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1968/174
Therefore the LCM of Fractions 48/522,41/348 is 1968/174
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 522,348 . The biggest common factor number is the GCF number.
So the greatest common factor 522,348 is 174.
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 48/522, 41/348?
Answer: LCM of Numerators as per given numbers 48/522, 41/348 is
LCM of Numerators i.e. for 48,41 is 1968
GCF of denominators i.e. for 522,348 is 174.
Thus, LCM of Fractions is 1968/174.Finally, LCM of Fractions for 48/522, 41/348 is 1968/174.