Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/949, 7740/3452 quickly i.e. 4496940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/949, 7740/3452 is 4496940.
LCM(581/949, 7740/3452) = 4496940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/949,7740/3452
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 581,7740
Least Common Multiple of Numerators i.e. LCM of 581,7740 is 4496940.
GCF of Denominators means GCF of 949,3452 as per the given fractions.
GCF of 949,3452 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,7740
Given numbers has no common factors except 1. So, there LCM is their product i.e 4496940
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 581,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,7740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,7740) x common factors =1 x 1 = 1
LCM(581,7740) = ( 581 × 7740 ) / 1
LCM(581,7740) = 4496940 / 1
LCM(581,7740) = 4496940
Lets's calculate GCF of 949,3452
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4496940/1
Therefore the LCM of Fractions 581/949,7740/3452 is 4496940
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 3452
List of positive integer factors of 3452 that divides 3452 without a remainder.
1,2,4,863,1726,3452
Greatest Common Factor
We found the factors 949,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 949,3452 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 581/949, 7740/3452?
Answer: LCM of Numerators as per given numbers 581/949, 7740/3452 is
LCM of Numerators i.e. for 581,7740 is 4496940
GCF of denominators i.e. for 949,3452 is 1.
Thus, LCM of Fractions is 4496940.Finally, LCM of Fractions for 581/949, 7740/3452 is 4496940.