Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 881/29, 542/4345 quickly i.e. 477502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 881/29, 542/4345 is 477502.
LCM(881/29, 542/4345) = 477502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 881/29,542/4345
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 881,542
Least Common Multiple of Numerators i.e. LCM of 881,542 is 477502.
GCF of Denominators means GCF of 29,4345 as per the given fractions.
GCF of 29,4345 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 881,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 477502
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 881,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,542) x common factors =1 x 1 = 1
LCM(881,542) = ( 881 × 542 ) / 1
LCM(881,542) = 477502 / 1
LCM(881,542) = 477502
Lets's calculate GCF of 29,4345
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477502/1
Therefore the LCM of Fractions 881/29,542/4345 is 477502
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 4345
List of positive integer factors of 4345 that divides 4345 without a remainder.
1,5,11,55,79,395,869,4345
Greatest Common Factor
We found the factors 29,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 29,4345 is 1.
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 881/29, 542/4345?
Answer: LCM of Numerators as per given numbers 881/29, 542/4345 is
LCM of Numerators i.e. for 881,542 is 477502
GCF of denominators i.e. for 29,4345 is 1.
Thus, LCM of Fractions is 477502.Finally, LCM of Fractions for 881/29, 542/4345 is 477502.