Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/341, 9133/3641 quickly i.e. 895034/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/341, 9133/3641 is 895034/11.
LCM(98/341, 9133/3641) = 895034/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/341,9133/3641
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 98,9133
Least Common Multiple of Numerators i.e. LCM of 98,9133 is 895034.
GCF of Denominators means GCF of 341,3641 as per the given fractions.
GCF of 341,3641 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,9133
Given numbers has no common factors except 1. So, there LCM is their product i.e 895034
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 98,9133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,9133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,9133) x common factors =1 x 1 = 1
LCM(98,9133) = ( 98 × 9133 ) / 1
LCM(98,9133) = 895034 / 1
LCM(98,9133) = 895034
Lets's calculate GCF of 341,3641
11 | 341, 3641 |
31, 331 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 895034/11
Therefore the LCM of Fractions 98/341,9133/3641 is 895034/11
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 3641
List of positive integer factors of 3641 that divides 3641 without a remainder.
1,11,331,3641
Greatest Common Factor
We found the factors 341,3641 . The biggest common factor number is the GCF number.
So the greatest common factor 341,3641 is 11.
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 98/341, 9133/3641?
Answer: LCM of Numerators as per given numbers 98/341, 9133/3641 is
LCM of Numerators i.e. for 98,9133 is 895034
GCF of denominators i.e. for 341,3641 is 11.
Thus, LCM of Fractions is 895034/11.Finally, LCM of Fractions for 98/341, 9133/3641 is 895034/11.