Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/634, 42/424, 538/509 quickly i.e. 531006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/634, 42/424, 538/509 is 531006.
LCM(47/634, 42/424, 538/509) = 531006
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/634,42/424,538/509
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 47,42,538
Least Common Multiple of Numerators i.e. LCM of 47,42,538 is 531006.
GCF of Denominators means GCF of 634,424,509 as per the given fractions.
GCF of 634,424,509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,42,538
2 | 47, 42, 538 |
47, 21, 269 |
∴ So the LCM of the given numbers is 2 x 47 x 21 x 269 = 531006
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 47,42,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,42,538) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,42,538) x common factors =1 x 2 = 2
LCM(47,42,538) = ( 47 × 42 × 538 ) / 2
LCM(47,42,538) = 1062012 / 2
LCM(47,42,538) = 531006
Lets's calculate GCF of 634,424,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531006/1
Therefore the LCM of Fractions 47/634,42/424,538/509 is 531006
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 634,424,509 . The biggest common factor number is the GCF number.
So the greatest common factor 634,424,509 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 47/634, 42/424, 538/509?
Answer: LCM of Numerators as per given numbers 47/634, 42/424, 538/509 is
LCM of Numerators i.e. for 47,42,538 is 531006
GCF of denominators i.e. for 634,424,509 is 1.
Thus, LCM of Fractions is 531006.Finally, LCM of Fractions for 47/634, 42/424, 538/509 is 531006.