Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/42, 87/29, 13/39, 30/577 quickly i.e. 531570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/42, 87/29, 13/39, 30/577 is 531570.
LCM(47/42, 87/29, 13/39, 30/577) = 531570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/42,87/29,13/39,30/577
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 47,87,13,30
Least Common Multiple of Numerators i.e. LCM of 47,87,13,30 is 531570.
GCF of Denominators means GCF of 42,29,39,577 as per the given fractions.
GCF of 42,29,39,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,87,13,30
3 | 47, 87, 13, 30 |
47, 29, 13, 10 |
∴ So the LCM of the given numbers is 3 x 47 x 29 x 13 x 10 = 531570
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 47,87,13,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,87,13,30) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,87,13,30) x common factors =1 x 3 = 3
LCM(47,87,13,30) = ( 47 × 87 × 13 × 30 ) / 3
LCM(47,87,13,30) = 1594710 / 3
LCM(47,87,13,30) = 531570
Lets's calculate GCF of 42,29,39,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531570/1
Therefore the LCM of Fractions 47/42,87/29,13/39,30/577 is 531570
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 42,29,39,577 . The biggest common factor number is the GCF number.
So the greatest common factor 42,29,39,577 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 47/42, 87/29, 13/39, 30/577?
Answer: LCM of Numerators as per given numbers 47/42, 87/29, 13/39, 30/577 is
LCM of Numerators i.e. for 47,87,13,30 is 531570
GCF of denominators i.e. for 42,29,39,577 is 1.
Thus, LCM of Fractions is 531570.Finally, LCM of Fractions for 47/42, 87/29, 13/39, 30/577 is 531570.