Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/375, 3779/9262 quickly i.e. 181392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/375, 3779/9262 is 181392.
LCM(48/375, 3779/9262) = 181392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/375,3779/9262
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 48,3779
Least Common Multiple of Numerators i.e. LCM of 48,3779 is 181392.
GCF of Denominators means GCF of 375,9262 as per the given fractions.
GCF of 375,9262 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,3779
Given numbers has no common factors except 1. So, there LCM is their product i.e 181392
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 48,3779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,3779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,3779) x common factors =1 x 1 = 1
LCM(48,3779) = ( 48 × 3779 ) / 1
LCM(48,3779) = 181392 / 1
LCM(48,3779) = 181392
Lets's calculate GCF of 375,9262
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181392/1
Therefore the LCM of Fractions 48/375,3779/9262 is 181392
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 9262
List of positive integer factors of 9262 that divides 9262 without a remainder.
1,2,11,22,421,842,4631,9262
Greatest Common Factor
We found the factors 375,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 375,9262 is 1.
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 48/375, 3779/9262?
Answer: LCM of Numerators as per given numbers 48/375, 3779/9262 is
LCM of Numerators i.e. for 48,3779 is 181392
GCF of denominators i.e. for 375,9262 is 1.
Thus, LCM of Fractions is 181392.Finally, LCM of Fractions for 48/375, 3779/9262 is 181392.