Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2841/639, 3257/111 quickly i.e. 3084379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2841/639, 3257/111 is 3084379.
LCM(2841/639, 3257/111) = 3084379
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2841/639,3257/111
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 2841,3257
Least Common Multiple of Numerators i.e. LCM of 2841,3257 is 9253137.
GCF of Denominators means GCF of 639,111 as per the given fractions.
GCF of 639,111 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2841,3257
Given numbers has no common factors except 1. So, there LCM is their product i.e 9253137
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 2841,3257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2841,3257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2841,3257) x common factors =1 x 1 = 1
LCM(2841,3257) = ( 2841 × 3257 ) / 1
LCM(2841,3257) = 9253137 / 1
LCM(2841,3257) = 9253137
Lets's calculate GCF of 639,111
3 | 639, 111 |
213, 37 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9253137/3
Therefore the LCM of Fractions 2841/639,3257/111 is 3084379
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 639,111 . The biggest common factor number is the GCF number.
So the greatest common factor 639,111 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 2841/639, 3257/111?
Answer: LCM of Numerators as per given numbers 2841/639, 3257/111 is
LCM of Numerators i.e. for 2841,3257 is 9253137
GCF of denominators i.e. for 639,111 is 3.
Thus, LCM of Fractions is 3084379.Finally, LCM of Fractions for 2841/639, 3257/111 is 3084379.