Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 570/487, 620/653, 110/608 quickly i.e. 388740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 570/487, 620/653, 110/608 is 388740.
LCM(570/487, 620/653, 110/608) = 388740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 570/487,620/653,110/608
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 570,620,110
Least Common Multiple of Numerators i.e. LCM of 570,620,110 is 388740.
GCF of Denominators means GCF of 487,653,608 as per the given fractions.
GCF of 487,653,608 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 570,620,110
2 | 570, 620, 110 |
5 | 285, 310, 55 |
57, 62, 11 |
∴ So the LCM of the given numbers is 2 x 5 x 57 x 62 x 11 = 388740
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 570,620,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,620,110) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(570,620,110) x common factors =10 x 10 = 100
LCM(570,620,110) = ( 570 × 620 × 110 ) / 100
LCM(570,620,110) = 38874000 / 100
LCM(570,620,110) = 388740
Lets's calculate GCF of 487,653,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388740/1
Therefore the LCM of Fractions 570/487,620/653,110/608 is 388740
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 487,653,608 . The biggest common factor number is the GCF number.
So the greatest common factor 487,653,608 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 570/487, 620/653, 110/608?
Answer: LCM of Numerators as per given numbers 570/487, 620/653, 110/608 is
LCM of Numerators i.e. for 570,620,110 is 388740
GCF of denominators i.e. for 487,653,608 is 1.
Thus, LCM of Fractions is 388740.Finally, LCM of Fractions for 570/487, 620/653, 110/608 is 388740.