Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2165/45, 9145/707 quickly i.e. 3959785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2165/45, 9145/707 is 3959785.
LCM(2165/45, 9145/707) = 3959785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2165/45,9145/707
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 2165,9145
Least Common Multiple of Numerators i.e. LCM of 2165,9145 is 3959785.
GCF of Denominators means GCF of 45,707 as per the given fractions.
GCF of 45,707 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2165,9145
5 | 2165, 9145 |
433, 1829 |
∴ So the LCM of the given numbers is 5 x 433 x 1829 = 3959785
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 2165,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2165,9145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2165,9145) x common factors =5 x 1 = 5
LCM(2165,9145) = ( 2165 × 9145 ) / 5
LCM(2165,9145) = 19798925 / 5
LCM(2165,9145) = 3959785
Lets's calculate GCF of 45,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3959785/1
Therefore the LCM of Fractions 2165/45,9145/707 is 3959785
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 45,707 . The biggest common factor number is the GCF number.
So the greatest common factor 45,707 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 2165/45, 9145/707?
Answer: LCM of Numerators as per given numbers 2165/45, 9145/707 is
LCM of Numerators i.e. for 2165,9145 is 3959785
GCF of denominators i.e. for 45,707 is 1.
Thus, LCM of Fractions is 3959785.Finally, LCM of Fractions for 2165/45, 9145/707 is 3959785.