Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/48, 373/9166 quickly i.e. 68632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/48, 373/9166 is 68632.
LCM(368/48, 373/9166) = 68632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/48,373/9166
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 368,373
Least Common Multiple of Numerators i.e. LCM of 368,373 is 137264.
GCF of Denominators means GCF of 48,9166 as per the given fractions.
GCF of 48,9166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 137264
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 368,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,373) x common factors =1 x 1 = 1
LCM(368,373) = ( 368 × 373 ) / 1
LCM(368,373) = 137264 / 1
LCM(368,373) = 137264
Lets's calculate GCF of 48,9166
2 | 48, 9166 |
24, 4583 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137264/2
Therefore the LCM of Fractions 368/48,373/9166 is 68632
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 9166
List of positive integer factors of 9166 that divides 9166 without a remainder.
1,2,4583,9166
Greatest Common Factor
We found the factors 48,9166 . The biggest common factor number is the GCF number.
So the greatest common factor 48,9166 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 368/48, 373/9166?
Answer: LCM of Numerators as per given numbers 368/48, 373/9166 is
LCM of Numerators i.e. for 368,373 is 137264
GCF of denominators i.e. for 48,9166 is 2.
Thus, LCM of Fractions is 68632.Finally, LCM of Fractions for 368/48, 373/9166 is 68632.