Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 729/542, 1548/5306 quickly i.e. 62694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 729/542, 1548/5306 is 62694.
LCM(729/542, 1548/5306) = 62694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 729/542,1548/5306
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 729,1548
Least Common Multiple of Numerators i.e. LCM of 729,1548 is 125388.
GCF of Denominators means GCF of 542,5306 as per the given fractions.
GCF of 542,5306 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 729,1548
3 | 729, 1548 |
3 | 243, 516 |
81, 172 |
∴ So the LCM of the given numbers is 3 x 3 x 81 x 172 = 125388
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 729,1548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,1548) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(729,1548) x common factors =9 x 1 = 9
LCM(729,1548) = ( 729 × 1548 ) / 9
LCM(729,1548) = 1128492 / 9
LCM(729,1548) = 125388
Lets's calculate GCF of 542,5306
2 | 542, 5306 |
271, 2653 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125388/2
Therefore the LCM of Fractions 729/542,1548/5306 is 62694
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 5306
List of positive integer factors of 5306 that divides 5306 without a remainder.
1,2,7,14,379,758,2653,5306
Greatest Common Factor
We found the factors 542,5306 . The biggest common factor number is the GCF number.
So the greatest common factor 542,5306 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 729/542, 1548/5306?
Answer: LCM of Numerators as per given numbers 729/542, 1548/5306 is
LCM of Numerators i.e. for 729,1548 is 125388
GCF of denominators i.e. for 542,5306 is 2.
Thus, LCM of Fractions is 62694.Finally, LCM of Fractions for 729/542, 1548/5306 is 62694.