Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 805/333, 4040/741 quickly i.e. 650440/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 805/333, 4040/741 is 650440/3.
LCM(805/333, 4040/741) = 650440/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 805/333,4040/741
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 805,4040
Least Common Multiple of Numerators i.e. LCM of 805,4040 is 650440.
GCF of Denominators means GCF of 333,741 as per the given fractions.
GCF of 333,741 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 805,4040
5 | 805, 4040 |
161, 808 |
∴ So the LCM of the given numbers is 5 x 161 x 808 = 650440
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 805,4040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,4040) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(805,4040) x common factors =5 x 1 = 5
LCM(805,4040) = ( 805 × 4040 ) / 5
LCM(805,4040) = 3252200 / 5
LCM(805,4040) = 650440
Lets's calculate GCF of 333,741
3 | 333, 741 |
111, 247 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 650440/3
Therefore the LCM of Fractions 805/333,4040/741 is 650440/3
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 333,741 . The biggest common factor number is the GCF number.
So the greatest common factor 333,741 is 3.
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 805/333, 4040/741?
Answer: LCM of Numerators as per given numbers 805/333, 4040/741 is
LCM of Numerators i.e. for 805,4040 is 650440
GCF of denominators i.e. for 333,741 is 3.
Thus, LCM of Fractions is 650440/3.Finally, LCM of Fractions for 805/333, 4040/741 is 650440/3.