Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/15, 24/657, 355/621 quickly i.e. 19880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/15, 24/657, 355/621 is 19880.
LCM(35/15, 24/657, 355/621) = 19880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/15,24/657,355/621
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 35,24,355
Least Common Multiple of Numerators i.e. LCM of 35,24,355 is 59640.
GCF of Denominators means GCF of 15,657,621 as per the given fractions.
GCF of 15,657,621 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,24,355
5 | 35, 24, 355 |
7, 24, 71 |
∴ So the LCM of the given numbers is 5 x 7 x 24 x 71 = 59640
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 35,24,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,24,355) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,24,355) x common factors =1 x 5 = 5
LCM(35,24,355) = ( 35 × 24 × 355 ) / 5
LCM(35,24,355) = 298200 / 5
LCM(35,24,355) = 59640
Lets's calculate GCF of 15,657,621
3 | 15, 657, 621 |
5, 219, 207 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59640/3
Therefore the LCM of Fractions 35/15,24/657,355/621 is 19880
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 15,657,621 . The biggest common factor number is the GCF number.
So the greatest common factor 15,657,621 is 3.
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 35/15, 24/657, 355/621?
Answer: LCM of Numerators as per given numbers 35/15, 24/657, 355/621 is
LCM of Numerators i.e. for 35,24,355 is 59640
GCF of denominators i.e. for 15,657,621 is 3.
Thus, LCM of Fractions is 19880.Finally, LCM of Fractions for 35/15, 24/657, 355/621 is 19880.