Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/143, 943/638, 921/810 quickly i.e. 4342515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/143, 943/638, 921/810 is 4342515.
LCM(15/143, 943/638, 921/810) = 4342515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/143,943/638,921/810
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 15,943,921
Least Common Multiple of Numerators i.e. LCM of 15,943,921 is 4342515.
GCF of Denominators means GCF of 143,638,810 as per the given fractions.
GCF of 143,638,810 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,943,921
3 | 15, 943, 921 |
5, 943, 307 |
∴ So the LCM of the given numbers is 3 x 5 x 943 x 307 = 4342515
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 15,943,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,943,921) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,943,921) x common factors =1 x 3 = 3
LCM(15,943,921) = ( 15 × 943 × 921 ) / 3
LCM(15,943,921) = 13027545 / 3
LCM(15,943,921) = 4342515
Lets's calculate GCF of 143,638,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4342515/1
Therefore the LCM of Fractions 15/143,943/638,921/810 is 4342515
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 143,638,810 . The biggest common factor number is the GCF number.
So the greatest common factor 143,638,810 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 15/143, 943/638, 921/810?
Answer: LCM of Numerators as per given numbers 15/143, 943/638, 921/810 is
LCM of Numerators i.e. for 15,943,921 is 4342515
GCF of denominators i.e. for 143,638,810 is 1.
Thus, LCM of Fractions is 4342515.Finally, LCM of Fractions for 15/143, 943/638, 921/810 is 4342515.