Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/597, 5143/6741 quickly i.e. 138861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/597, 5143/6741 is 138861.
LCM(81/597, 5143/6741) = 138861
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/597,5143/6741
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 81,5143
Least Common Multiple of Numerators i.e. LCM of 81,5143 is 416583.
GCF of Denominators means GCF of 597,6741 as per the given fractions.
GCF of 597,6741 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,5143
Given numbers has no common factors except 1. So, there LCM is their product i.e 416583
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 81,5143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,5143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,5143) x common factors =1 x 1 = 1
LCM(81,5143) = ( 81 × 5143 ) / 1
LCM(81,5143) = 416583 / 1
LCM(81,5143) = 416583
Lets's calculate GCF of 597,6741
3 | 597, 6741 |
199, 2247 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416583/3
Therefore the LCM of Fractions 81/597,5143/6741 is 138861
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 6741
List of positive integer factors of 6741 that divides 6741 without a remainder.
1,3,7,9,21,63,107,321,749,963,2247,6741
Greatest Common Factor
We found the factors 597,6741 . The biggest common factor number is the GCF number.
So the greatest common factor 597,6741 is 3.
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 81/597, 5143/6741?
Answer: LCM of Numerators as per given numbers 81/597, 5143/6741 is
LCM of Numerators i.e. for 81,5143 is 416583
GCF of denominators i.e. for 597,6741 is 3.
Thus, LCM of Fractions is 138861.Finally, LCM of Fractions for 81/597, 5143/6741 is 138861.