Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/470, 72/712, 53/808 quickly i.e. 9540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/470, 72/712, 53/808 is 9540.
LCM(5/470, 72/712, 53/808) = 9540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/470,72/712,53/808
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 5,72,53
Least Common Multiple of Numerators i.e. LCM of 5,72,53 is 19080.
GCF of Denominators means GCF of 470,712,808 as per the given fractions.
GCF of 470,712,808 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,72,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 19080
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 5,72,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,72,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,72,53) x common factors =1 x 1 = 1
LCM(5,72,53) = ( 5 × 72 × 53 ) / 1
LCM(5,72,53) = 19080 / 1
LCM(5,72,53) = 19080
Lets's calculate GCF of 470,712,808
2 | 470, 712, 808 |
235, 356, 404 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19080/2
Therefore the LCM of Fractions 5/470,72/712,53/808 is 9540
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 470,712,808 . The biggest common factor number is the GCF number.
So the greatest common factor 470,712,808 is 2.
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 5/470, 72/712, 53/808?
Answer: LCM of Numerators as per given numbers 5/470, 72/712, 53/808 is
LCM of Numerators i.e. for 5,72,53 is 19080
GCF of denominators i.e. for 470,712,808 is 2.
Thus, LCM of Fractions is 9540.Finally, LCM of Fractions for 5/470, 72/712, 53/808 is 9540.