Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/894, 7841/165 quickly i.e. 5276993/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/894, 7841/165 is 5276993/3.
LCM(673/894, 7841/165) = 5276993/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/894,7841/165
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 673,7841
Least Common Multiple of Numerators i.e. LCM of 673,7841 is 5276993.
GCF of Denominators means GCF of 894,165 as per the given fractions.
GCF of 894,165 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,7841
Given numbers has no common factors except 1. So, there LCM is their product i.e 5276993
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 673,7841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,7841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,7841) x common factors =1 x 1 = 1
LCM(673,7841) = ( 673 × 7841 ) / 1
LCM(673,7841) = 5276993 / 1
LCM(673,7841) = 5276993
Lets's calculate GCF of 894,165
3 | 894, 165 |
298, 55 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5276993/3
Therefore the LCM of Fractions 673/894,7841/165 is 5276993/3
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 894,165 . The biggest common factor number is the GCF number.
So the greatest common factor 894,165 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 673/894, 7841/165?
Answer: LCM of Numerators as per given numbers 673/894, 7841/165 is
LCM of Numerators i.e. for 673,7841 is 5276993
GCF of denominators i.e. for 894,165 is 3.
Thus, LCM of Fractions is 5276993/3.Finally, LCM of Fractions for 673/894, 7841/165 is 5276993/3.