Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3950/541, 8346/454 quickly i.e. 16483350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3950/541, 8346/454 is 16483350.
LCM(3950/541, 8346/454) = 16483350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3950/541,8346/454
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 3950,8346
Least Common Multiple of Numerators i.e. LCM of 3950,8346 is 16483350.
GCF of Denominators means GCF of 541,454 as per the given fractions.
GCF of 541,454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3950,8346
2 | 3950, 8346 |
1975, 4173 |
∴ So the LCM of the given numbers is 2 x 1975 x 4173 = 16483350
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 3950,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3950,8346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3950,8346) x common factors =2 x 1 = 2
LCM(3950,8346) = ( 3950 × 8346 ) / 2
LCM(3950,8346) = 32966700 / 2
LCM(3950,8346) = 16483350
Lets's calculate GCF of 541,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16483350/1
Therefore the LCM of Fractions 3950/541,8346/454 is 16483350
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 541,454 . The biggest common factor number is the GCF number.
So the greatest common factor 541,454 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 3950/541, 8346/454?
Answer: LCM of Numerators as per given numbers 3950/541, 8346/454 is
LCM of Numerators i.e. for 3950,8346 is 16483350
GCF of denominators i.e. for 541,454 is 1.
Thus, LCM of Fractions is 16483350.Finally, LCM of Fractions for 3950/541, 8346/454 is 16483350.