Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3041/35, 6040/740 quickly i.e. 3673528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3041/35, 6040/740 is 3673528.
LCM(3041/35, 6040/740) = 3673528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3041/35,6040/740
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 3041,6040
Least Common Multiple of Numerators i.e. LCM of 3041,6040 is 18367640.
GCF of Denominators means GCF of 35,740 as per the given fractions.
GCF of 35,740 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3041,6040
Given numbers has no common factors except 1. So, there LCM is their product i.e 18367640
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 3041,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3041,6040) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3041,6040) x common factors =1 x 1 = 1
LCM(3041,6040) = ( 3041 × 6040 ) / 1
LCM(3041,6040) = 18367640 / 1
LCM(3041,6040) = 18367640
Lets's calculate GCF of 35,740
5 | 35, 740 |
7, 148 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18367640/5
Therefore the LCM of Fractions 3041/35,6040/740 is 3673528
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
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
Greatest Common Factor
We found the factors 35,740 . The biggest common factor number is the GCF number.
So the greatest common factor 35,740 is 5.
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 3041/35, 6040/740?
Answer: LCM of Numerators as per given numbers 3041/35, 6040/740 is
LCM of Numerators i.e. for 3041,6040 is 18367640
GCF of denominators i.e. for 35,740 is 5.
Thus, LCM of Fractions is 3673528.Finally, LCM of Fractions for 3041/35, 6040/740 is 3673528.