Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3404/962, 3041/703 quickly i.e. 279772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3404/962, 3041/703 is 279772.
LCM(3404/962, 3041/703) = 279772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3404/962,3041/703
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 3404,3041
Least Common Multiple of Numerators i.e. LCM of 3404,3041 is 10351564.
GCF of Denominators means GCF of 962,703 as per the given fractions.
GCF of 962,703 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3404,3041
Given numbers has no common factors except 1. So, there LCM is their product i.e 10351564
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 3404,3041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3404,3041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3404,3041) x common factors =1 x 1 = 1
LCM(3404,3041) = ( 3404 × 3041 ) / 1
LCM(3404,3041) = 10351564 / 1
LCM(3404,3041) = 10351564
Lets's calculate GCF of 962,703
37 | 962, 703 |
26, 19 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10351564/37
Therefore the LCM of Fractions 3404/962,3041/703 is 279772
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 962,703 . The biggest common factor number is the GCF number.
So the greatest common factor 962,703 is 37.
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 3404/962, 3041/703?
Answer: LCM of Numerators as per given numbers 3404/962, 3041/703 is
LCM of Numerators i.e. for 3404,3041 is 10351564
GCF of denominators i.e. for 962,703 is 37.
Thus, LCM of Fractions is 279772.Finally, LCM of Fractions for 3404/962, 3041/703 is 279772.