Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 941/645, 6761/2560 quickly i.e. 6362101/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 941/645, 6761/2560 is 6362101/5.
LCM(941/645, 6761/2560) = 6362101/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 941/645,6761/2560
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 941,6761
Least Common Multiple of Numerators i.e. LCM of 941,6761 is 6362101.
GCF of Denominators means GCF of 645,2560 as per the given fractions.
GCF of 645,2560 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 941,6761
Given numbers has no common factors except 1. So, there LCM is their product i.e 6362101
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 941,6761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,6761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,6761) x common factors =1 x 1 = 1
LCM(941,6761) = ( 941 × 6761 ) / 1
LCM(941,6761) = 6362101 / 1
LCM(941,6761) = 6362101
Lets's calculate GCF of 645,2560
5 | 645, 2560 |
129, 512 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6362101/5
Therefore the LCM of Fractions 941/645,6761/2560 is 6362101/5
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 2560
List of positive integer factors of 2560 that divides 2560 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560
Greatest Common Factor
We found the factors 645,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 645,2560 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 941/645, 6761/2560?
Answer: LCM of Numerators as per given numbers 941/645, 6761/2560 is
LCM of Numerators i.e. for 941,6761 is 6362101
GCF of denominators i.e. for 645,2560 is 5.
Thus, LCM of Fractions is 6362101/5.Finally, LCM of Fractions for 941/645, 6761/2560 is 6362101/5.