Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3433/740, 8619/541 quickly i.e. 29589027 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3433/740, 8619/541 is 29589027.
LCM(3433/740, 8619/541) = 29589027
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3433/740,8619/541
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 3433,8619
Least Common Multiple of Numerators i.e. LCM of 3433,8619 is 29589027.
GCF of Denominators means GCF of 740,541 as per the given fractions.
GCF of 740,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3433,8619
Given numbers has no common factors except 1. So, there LCM is their product i.e 29589027
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 3433,8619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3433,8619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3433,8619) x common factors =1 x 1 = 1
LCM(3433,8619) = ( 3433 × 8619 ) / 1
LCM(3433,8619) = 29589027 / 1
LCM(3433,8619) = 29589027
Lets's calculate GCF of 740,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29589027/1
Therefore the LCM of Fractions 3433/740,8619/541 is 29589027
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 740,541 . The biggest common factor number is the GCF number.
So the greatest common factor 740,541 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 3433/740, 8619/541?
Answer: LCM of Numerators as per given numbers 3433/740, 8619/541 is
LCM of Numerators i.e. for 3433,8619 is 29589027
GCF of denominators i.e. for 740,541 is 1.
Thus, LCM of Fractions is 29589027.Finally, LCM of Fractions for 3433/740, 8619/541 is 29589027.