Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/172, 9804/3098 quickly i.e. 357846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/172, 9804/3098 is 357846.
LCM(73/172, 9804/3098) = 357846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/172,9804/3098
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 73,9804
Least Common Multiple of Numerators i.e. LCM of 73,9804 is 715692.
GCF of Denominators means GCF of 172,3098 as per the given fractions.
GCF of 172,3098 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,9804
Given numbers has no common factors except 1. So, there LCM is their product i.e 715692
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 73,9804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,9804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,9804) x common factors =1 x 1 = 1
LCM(73,9804) = ( 73 × 9804 ) / 1
LCM(73,9804) = 715692 / 1
LCM(73,9804) = 715692
Lets's calculate GCF of 172,3098
2 | 172, 3098 |
86, 1549 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 715692/2
Therefore the LCM of Fractions 73/172,9804/3098 is 357846
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 3098
List of positive integer factors of 3098 that divides 3098 without a remainder.
1,2,1549,3098
Greatest Common Factor
We found the factors 172,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 172,3098 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 73/172, 9804/3098?
Answer: LCM of Numerators as per given numbers 73/172, 9804/3098 is
LCM of Numerators i.e. for 73,9804 is 715692
GCF of denominators i.e. for 172,3098 is 2.
Thus, LCM of Fractions is 357846.Finally, LCM of Fractions for 73/172, 9804/3098 is 357846.