Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/249, 3323/291 quickly i.e. 943732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/249, 3323/291 is 943732.
LCM(852/249, 3323/291) = 943732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/249,3323/291
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 852,3323
Least Common Multiple of Numerators i.e. LCM of 852,3323 is 2831196.
GCF of Denominators means GCF of 249,291 as per the given fractions.
GCF of 249,291 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,3323
Given numbers has no common factors except 1. So, there LCM is their product i.e 2831196
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 852,3323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,3323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,3323) x common factors =1 x 1 = 1
LCM(852,3323) = ( 852 × 3323 ) / 1
LCM(852,3323) = 2831196 / 1
LCM(852,3323) = 2831196
Lets's calculate GCF of 249,291
3 | 249, 291 |
83, 97 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2831196/3
Therefore the LCM of Fractions 852/249,3323/291 is 943732
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 249,291 . The biggest common factor number is the GCF number.
So the greatest common factor 249,291 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 852/249, 3323/291?
Answer: LCM of Numerators as per given numbers 852/249, 3323/291 is
LCM of Numerators i.e. for 852,3323 is 2831196
GCF of denominators i.e. for 249,291 is 3.
Thus, LCM of Fractions is 943732.Finally, LCM of Fractions for 852/249, 3323/291 is 943732.