Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 608/641, 7974/4891 quickly i.e. 2424096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 608/641, 7974/4891 is 2424096.
LCM(608/641, 7974/4891) = 2424096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 608/641,7974/4891
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 608,7974
Least Common Multiple of Numerators i.e. LCM of 608,7974 is 2424096.
GCF of Denominators means GCF of 641,4891 as per the given fractions.
GCF of 641,4891 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 608,7974
2 | 608, 7974 |
304, 3987 |
∴ So the LCM of the given numbers is 2 x 304 x 3987 = 2424096
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 608,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,7974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,7974) x common factors =2 x 1 = 2
LCM(608,7974) = ( 608 × 7974 ) / 2
LCM(608,7974) = 4848192 / 2
LCM(608,7974) = 2424096
Lets's calculate GCF of 641,4891
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2424096/1
Therefore the LCM of Fractions 608/641,7974/4891 is 2424096
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 4891
List of positive integer factors of 4891 that divides 4891 without a remainder.
1,67,73,4891
Greatest Common Factor
We found the factors 641,4891 . The biggest common factor number is the GCF number.
So the greatest common factor 641,4891 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 608/641, 7974/4891?
Answer: LCM of Numerators as per given numbers 608/641, 7974/4891 is
LCM of Numerators i.e. for 608,7974 is 2424096
GCF of denominators i.e. for 641,4891 is 1.
Thus, LCM of Fractions is 2424096.Finally, LCM of Fractions for 608/641, 7974/4891 is 2424096.