Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 383/72, 642/6542 quickly i.e. 122943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 383/72, 642/6542 is 122943.
LCM(383/72, 642/6542) = 122943
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 383/72,642/6542
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 383,642
Least Common Multiple of Numerators i.e. LCM of 383,642 is 245886.
GCF of Denominators means GCF of 72,6542 as per the given fractions.
GCF of 72,6542 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 383,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 245886
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 383,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,642) x common factors =1 x 1 = 1
LCM(383,642) = ( 383 × 642 ) / 1
LCM(383,642) = 245886 / 1
LCM(383,642) = 245886
Lets's calculate GCF of 72,6542
2 | 72, 6542 |
36, 3271 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245886/2
Therefore the LCM of Fractions 383/72,642/6542 is 122943
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 6542
List of positive integer factors of 6542 that divides 6542 without a remainder.
1,2,3271,6542
Greatest Common Factor
We found the factors 72,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6542 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 383/72, 642/6542?
Answer: LCM of Numerators as per given numbers 383/72, 642/6542 is
LCM of Numerators i.e. for 383,642 is 245886
GCF of denominators i.e. for 72,6542 is 2.
Thus, LCM of Fractions is 122943.Finally, LCM of Fractions for 383/72, 642/6542 is 122943.