Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3434/901, 3644/1699 quickly i.e. 6256748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3434/901, 3644/1699 is 6256748.
LCM(3434/901, 3644/1699) = 6256748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3434/901,3644/1699
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 3434,3644
Least Common Multiple of Numerators i.e. LCM of 3434,3644 is 6256748.
GCF of Denominators means GCF of 901,1699 as per the given fractions.
GCF of 901,1699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3434,3644
2 | 3434, 3644 |
1717, 1822 |
∴ So the LCM of the given numbers is 2 x 1717 x 1822 = 6256748
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 3434,3644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3434,3644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3434,3644) x common factors =2 x 1 = 2
LCM(3434,3644) = ( 3434 × 3644 ) / 2
LCM(3434,3644) = 12513496 / 2
LCM(3434,3644) = 6256748
Lets's calculate GCF of 901,1699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6256748/1
Therefore the LCM of Fractions 3434/901,3644/1699 is 6256748
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 1699
List of positive integer factors of 1699 that divides 1699 without a remainder.
1,1699
Greatest Common Factor
We found the factors 901,1699 . The biggest common factor number is the GCF number.
So the greatest common factor 901,1699 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 3434/901, 3644/1699?
Answer: LCM of Numerators as per given numbers 3434/901, 3644/1699 is
LCM of Numerators i.e. for 3434,3644 is 6256748
GCF of denominators i.e. for 901,1699 is 1.
Thus, LCM of Fractions is 6256748.Finally, LCM of Fractions for 3434/901, 3644/1699 is 6256748.