Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/544, 1715/5345 quickly i.e. 10290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/544, 1715/5345 is 10290.
LCM(30/544, 1715/5345) = 10290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/544,1715/5345
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 30,1715
Least Common Multiple of Numerators i.e. LCM of 30,1715 is 10290.
GCF of Denominators means GCF of 544,5345 as per the given fractions.
GCF of 544,5345 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,1715
5 | 30, 1715 |
6, 343 |
∴ So the LCM of the given numbers is 5 x 6 x 343 = 10290
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 30,1715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,1715) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(30,1715) x common factors =5 x 1 = 5
LCM(30,1715) = ( 30 × 1715 ) / 5
LCM(30,1715) = 51450 / 5
LCM(30,1715) = 10290
Lets's calculate GCF of 544,5345
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10290/1
Therefore the LCM of Fractions 30/544,1715/5345 is 10290
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 5345
List of positive integer factors of 5345 that divides 5345 without a remainder.
1,5,1069,5345
Greatest Common Factor
We found the factors 544,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 544,5345 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 30/544, 1715/5345?
Answer: LCM of Numerators as per given numbers 30/544, 1715/5345 is
LCM of Numerators i.e. for 30,1715 is 10290
GCF of denominators i.e. for 544,5345 is 1.
Thus, LCM of Fractions is 10290.Finally, LCM of Fractions for 30/544, 1715/5345 is 10290.