Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 971/20, 752/7808 quickly i.e. 182548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 971/20, 752/7808 is 182548.
LCM(971/20, 752/7808) = 182548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 971/20,752/7808
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 971,752
Least Common Multiple of Numerators i.e. LCM of 971,752 is 730192.
GCF of Denominators means GCF of 20,7808 as per the given fractions.
GCF of 20,7808 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 971,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 730192
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 971,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,752) x common factors =1 x 1 = 1
LCM(971,752) = ( 971 × 752 ) / 1
LCM(971,752) = 730192 / 1
LCM(971,752) = 730192
Lets's calculate GCF of 20,7808
2 | 20, 7808 |
2 | 10, 3904 |
5, 1952 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730192/4
Therefore the LCM of Fractions 971/20,752/7808 is 182548
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 7808
List of positive integer factors of 7808 that divides 7808 without a remainder.
1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Greatest Common Factor
We found the factors 20,7808 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7808 is 4.
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 971/20, 752/7808?
Answer: LCM of Numerators as per given numbers 971/20, 752/7808 is
LCM of Numerators i.e. for 971,752 is 730192
GCF of denominators i.e. for 20,7808 is 4.
Thus, LCM of Fractions is 182548.Finally, LCM of Fractions for 971/20, 752/7808 is 182548.