Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7960/464, 2197/8755 quickly i.e. 17488120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7960/464, 2197/8755 is 17488120.
LCM(7960/464, 2197/8755) = 17488120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7960/464,2197/8755
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 7960,2197
Least Common Multiple of Numerators i.e. LCM of 7960,2197 is 17488120.
GCF of Denominators means GCF of 464,8755 as per the given fractions.
GCF of 464,8755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7960,2197
Given numbers has no common factors except 1. So, there LCM is their product i.e 17488120
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 7960,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7960,2197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7960,2197) x common factors =1 x 1 = 1
LCM(7960,2197) = ( 7960 × 2197 ) / 1
LCM(7960,2197) = 17488120 / 1
LCM(7960,2197) = 17488120
Lets's calculate GCF of 464,8755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17488120/1
Therefore the LCM of Fractions 7960/464,2197/8755 is 17488120
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1,5,17,85,103,515,1751,8755
Greatest Common Factor
We found the factors 464,8755 . The biggest common factor number is the GCF number.
So the greatest common factor 464,8755 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 7960/464, 2197/8755?
Answer: LCM of Numerators as per given numbers 7960/464, 2197/8755 is
LCM of Numerators i.e. for 7960,2197 is 17488120
GCF of denominators i.e. for 464,8755 is 1.
Thus, LCM of Fractions is 17488120.Finally, LCM of Fractions for 7960/464, 2197/8755 is 17488120.