Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/41, 54/408, 684/305 quickly i.e. 100548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/41, 54/408, 684/305 is 100548.
LCM(98/41, 54/408, 684/305) = 100548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/41,54/408,684/305
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 98,54,684
Least Common Multiple of Numerators i.e. LCM of 98,54,684 is 100548.
GCF of Denominators means GCF of 41,408,305 as per the given fractions.
GCF of 41,408,305 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,54,684
2 | 98, 54, 684 |
3 | 49, 27, 342 |
3 | 49, 9, 114 |
49, 3, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 3 x 38 = 100548
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 98,54,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,54,684) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(98,54,684) x common factors =2 x 18 = 36
LCM(98,54,684) = ( 98 × 54 × 684 ) / 36
LCM(98,54,684) = 3619728 / 36
LCM(98,54,684) = 100548
Lets's calculate GCF of 41,408,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100548/1
Therefore the LCM of Fractions 98/41,54/408,684/305 is 100548
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 41,408,305 . The biggest common factor number is the GCF number.
So the greatest common factor 41,408,305 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 98/41, 54/408, 684/305?
Answer: LCM of Numerators as per given numbers 98/41, 54/408, 684/305 is
LCM of Numerators i.e. for 98,54,684 is 100548
GCF of denominators i.e. for 41,408,305 is 1.
Thus, LCM of Fractions is 100548.Finally, LCM of Fractions for 98/41, 54/408, 684/305 is 100548.