Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2575/520, 8003/220 quickly i.e. 20607725/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2575/520, 8003/220 is 20607725/20.
LCM(2575/520, 8003/220) = 20607725/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2575/520,8003/220
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 2575,8003
Least Common Multiple of Numerators i.e. LCM of 2575,8003 is 20607725.
GCF of Denominators means GCF of 520,220 as per the given fractions.
GCF of 520,220 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2575,8003
Given numbers has no common factors except 1. So, there LCM is their product i.e 20607725
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 2575,8003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2575,8003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2575,8003) x common factors =1 x 1 = 1
LCM(2575,8003) = ( 2575 × 8003 ) / 1
LCM(2575,8003) = 20607725 / 1
LCM(2575,8003) = 20607725
Lets's calculate GCF of 520,220
2 | 520, 220 |
2 | 260, 110 |
5 | 130, 55 |
26, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20607725/20
Therefore the LCM of Fractions 2575/520,8003/220 is 20607725/20
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 520,220 . The biggest common factor number is the GCF number.
So the greatest common factor 520,220 is 20.
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 2575/520, 8003/220?
Answer: LCM of Numerators as per given numbers 2575/520, 8003/220 is
LCM of Numerators i.e. for 2575,8003 is 20607725
GCF of denominators i.e. for 520,220 is 20.
Thus, LCM of Fractions is 20607725/20.Finally, LCM of Fractions for 2575/520, 8003/220 is 20607725/20.