Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 592/32, 127/3364 quickly i.e. 18796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 592/32, 127/3364 is 18796.
LCM(592/32, 127/3364) = 18796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 592/32,127/3364
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 592,127
Least Common Multiple of Numerators i.e. LCM of 592,127 is 75184.
GCF of Denominators means GCF of 32,3364 as per the given fractions.
GCF of 32,3364 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 592,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 75184
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 592,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(592,127) x common factors =1 x 1 = 1
LCM(592,127) = ( 592 × 127 ) / 1
LCM(592,127) = 75184 / 1
LCM(592,127) = 75184
Lets's calculate GCF of 32,3364
2 | 32, 3364 |
2 | 16, 1682 |
8, 841 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75184/4
Therefore the LCM of Fractions 592/32,127/3364 is 18796
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 3364
List of positive integer factors of 3364 that divides 3364 without a remainder.
1,2,4,29,58,116,841,1682,3364
Greatest Common Factor
We found the factors 32,3364 . The biggest common factor number is the GCF number.
So the greatest common factor 32,3364 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 592/32, 127/3364?
Answer: LCM of Numerators as per given numbers 592/32, 127/3364 is
LCM of Numerators i.e. for 592,127 is 75184
GCF of denominators i.e. for 32,3364 is 4.
Thus, LCM of Fractions is 18796.Finally, LCM of Fractions for 592/32, 127/3364 is 18796.