Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7399/243, 8506/3192 quickly i.e. 62935894/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7399/243, 8506/3192 is 62935894/3.
LCM(7399/243, 8506/3192) = 62935894/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7399/243,8506/3192
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 7399,8506
Least Common Multiple of Numerators i.e. LCM of 7399,8506 is 62935894.
GCF of Denominators means GCF of 243,3192 as per the given fractions.
GCF of 243,3192 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7399,8506
Given numbers has no common factors except 1. So, there LCM is their product i.e 62935894
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 7399,8506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7399,8506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7399,8506) x common factors =1 x 1 = 1
LCM(7399,8506) = ( 7399 × 8506 ) / 1
LCM(7399,8506) = 62935894 / 1
LCM(7399,8506) = 62935894
Lets's calculate GCF of 243,3192
3 | 243, 3192 |
81, 1064 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62935894/3
Therefore the LCM of Fractions 7399/243,8506/3192 is 62935894/3
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 3192
List of positive integer factors of 3192 that divides 3192 without a remainder.
1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Greatest Common Factor
We found the factors 243,3192 . The biggest common factor number is the GCF number.
So the greatest common factor 243,3192 is 3.
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 7399/243, 8506/3192?
Answer: LCM of Numerators as per given numbers 7399/243, 8506/3192 is
LCM of Numerators i.e. for 7399,8506 is 62935894
GCF of denominators i.e. for 243,3192 is 3.
Thus, LCM of Fractions is 62935894/3.Finally, LCM of Fractions for 7399/243, 8506/3192 is 62935894/3.