Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/196, 9542/4033 quickly i.e. 171756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/196, 9542/4033 is 171756.
LCM(36/196, 9542/4033) = 171756
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/196,9542/4033
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 36,9542
Least Common Multiple of Numerators i.e. LCM of 36,9542 is 171756.
GCF of Denominators means GCF of 196,4033 as per the given fractions.
GCF of 196,4033 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,9542
2 | 36, 9542 |
18, 4771 |
∴ So the LCM of the given numbers is 2 x 18 x 4771 = 171756
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 36,9542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,9542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,9542) x common factors =2 x 1 = 2
LCM(36,9542) = ( 36 × 9542 ) / 2
LCM(36,9542) = 343512 / 2
LCM(36,9542) = 171756
Lets's calculate GCF of 196,4033
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171756/1
Therefore the LCM of Fractions 36/196,9542/4033 is 171756
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 4033
List of positive integer factors of 4033 that divides 4033 without a remainder.
1,37,109,4033
Greatest Common Factor
We found the factors 196,4033 . The biggest common factor number is the GCF number.
So the greatest common factor 196,4033 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 36/196, 9542/4033?
Answer: LCM of Numerators as per given numbers 36/196, 9542/4033 is
LCM of Numerators i.e. for 36,9542 is 171756
GCF of denominators i.e. for 196,4033 is 1.
Thus, LCM of Fractions is 171756.Finally, LCM of Fractions for 36/196, 9542/4033 is 171756.