Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 842/165, 5323/975 quickly i.e. 4481966/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 842/165, 5323/975 is 4481966/15.
LCM(842/165, 5323/975) = 4481966/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 842/165,5323/975
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 842,5323
Least Common Multiple of Numerators i.e. LCM of 842,5323 is 4481966.
GCF of Denominators means GCF of 165,975 as per the given fractions.
GCF of 165,975 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 842,5323
Given numbers has no common factors except 1. So, there LCM is their product i.e 4481966
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 842,5323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,5323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,5323) x common factors =1 x 1 = 1
LCM(842,5323) = ( 842 × 5323 ) / 1
LCM(842,5323) = 4481966 / 1
LCM(842,5323) = 4481966
Lets's calculate GCF of 165,975
3 | 165, 975 |
5 | 55, 325 |
11, 65 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4481966/15
Therefore the LCM of Fractions 842/165,5323/975 is 4481966/15
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 165,975 . The biggest common factor number is the GCF number.
So the greatest common factor 165,975 is 15.
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 842/165, 5323/975?
Answer: LCM of Numerators as per given numbers 842/165, 5323/975 is
LCM of Numerators i.e. for 842,5323 is 4481966
GCF of denominators i.e. for 165,975 is 15.
Thus, LCM of Fractions is 4481966/15.Finally, LCM of Fractions for 842/165, 5323/975 is 4481966/15.