Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7868/725, 9605/162 quickly i.e. 75572140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7868/725, 9605/162 is 75572140.
LCM(7868/725, 9605/162) = 75572140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7868/725,9605/162
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 7868,9605
Least Common Multiple of Numerators i.e. LCM of 7868,9605 is 75572140.
GCF of Denominators means GCF of 725,162 as per the given fractions.
GCF of 725,162 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7868,9605
Given numbers has no common factors except 1. So, there LCM is their product i.e 75572140
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 7868,9605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7868,9605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7868,9605) x common factors =1 x 1 = 1
LCM(7868,9605) = ( 7868 × 9605 ) / 1
LCM(7868,9605) = 75572140 / 1
LCM(7868,9605) = 75572140
Lets's calculate GCF of 725,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75572140/1
Therefore the LCM of Fractions 7868/725,9605/162 is 75572140
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 725,162 . The biggest common factor number is the GCF number.
So the greatest common factor 725,162 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 7868/725, 9605/162?
Answer: LCM of Numerators as per given numbers 7868/725, 9605/162 is
LCM of Numerators i.e. for 7868,9605 is 75572140
GCF of denominators i.e. for 725,162 is 1.
Thus, LCM of Fractions is 75572140.Finally, LCM of Fractions for 7868/725, 9605/162 is 75572140.