Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3900/684, 9850/541 quickly i.e. 768300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3900/684, 9850/541 is 768300.
LCM(3900/684, 9850/541) = 768300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3900/684,9850/541
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 3900,9850
Least Common Multiple of Numerators i.e. LCM of 3900,9850 is 768300.
GCF of Denominators means GCF of 684,541 as per the given fractions.
GCF of 684,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3900,9850
2 | 3900, 9850 |
5 | 1950, 4925 |
5 | 390, 985 |
78, 197 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 78 x 197 = 768300
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 3900,9850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3900,9850) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(3900,9850) x common factors =50 x 1 = 50
LCM(3900,9850) = ( 3900 × 9850 ) / 50
LCM(3900,9850) = 38415000 / 50
LCM(3900,9850) = 768300
Lets's calculate GCF of 684,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768300/1
Therefore the LCM of Fractions 3900/684,9850/541 is 768300
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 684,541 . The biggest common factor number is the GCF number.
So the greatest common factor 684,541 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 3900/684, 9850/541?
Answer: LCM of Numerators as per given numbers 3900/684, 9850/541 is
LCM of Numerators i.e. for 3900,9850 is 768300
GCF of denominators i.e. for 684,541 is 1.
Thus, LCM of Fractions is 768300.Finally, LCM of Fractions for 3900/684, 9850/541 is 768300.