Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3536/98, 9405/108 quickly i.e. 16628040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3536/98, 9405/108 is 16628040.
LCM(3536/98, 9405/108) = 16628040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3536/98,9405/108
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 3536,9405
Least Common Multiple of Numerators i.e. LCM of 3536,9405 is 33256080.
GCF of Denominators means GCF of 98,108 as per the given fractions.
GCF of 98,108 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3536,9405
Given numbers has no common factors except 1. So, there LCM is their product i.e 33256080
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 3536,9405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3536,9405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3536,9405) x common factors =1 x 1 = 1
LCM(3536,9405) = ( 3536 × 9405 ) / 1
LCM(3536,9405) = 33256080 / 1
LCM(3536,9405) = 33256080
Lets's calculate GCF of 98,108
2 | 98, 108 |
49, 54 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33256080/2
Therefore the LCM of Fractions 3536/98,9405/108 is 16628040
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 98,108 . The biggest common factor number is the GCF number.
So the greatest common factor 98,108 is 2.
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 3536/98, 9405/108?
Answer: LCM of Numerators as per given numbers 3536/98, 9405/108 is
LCM of Numerators i.e. for 3536,9405 is 33256080
GCF of denominators i.e. for 98,108 is 2.
Thus, LCM of Fractions is 16628040.Finally, LCM of Fractions for 3536/98, 9405/108 is 16628040.