Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/631, 26/182, 842/697 quickly i.e. 164190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/631, 26/182, 842/697 is 164190.
LCM(15/631, 26/182, 842/697) = 164190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/631,26/182,842/697
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 15,26,842
Least Common Multiple of Numerators i.e. LCM of 15,26,842 is 164190.
GCF of Denominators means GCF of 631,182,697 as per the given fractions.
GCF of 631,182,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,26,842
2 | 15, 26, 842 |
15, 13, 421 |
∴ So the LCM of the given numbers is 2 x 15 x 13 x 421 = 164190
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 15,26,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,26,842) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,26,842) x common factors =1 x 2 = 2
LCM(15,26,842) = ( 15 × 26 × 842 ) / 2
LCM(15,26,842) = 328380 / 2
LCM(15,26,842) = 164190
Lets's calculate GCF of 631,182,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164190/1
Therefore the LCM of Fractions 15/631,26/182,842/697 is 164190
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 631,182,697 . The biggest common factor number is the GCF number.
So the greatest common factor 631,182,697 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 15/631, 26/182, 842/697?
Answer: LCM of Numerators as per given numbers 15/631, 26/182, 842/697 is
LCM of Numerators i.e. for 15,26,842 is 164190
GCF of denominators i.e. for 631,182,697 is 1.
Thus, LCM of Fractions is 164190.Finally, LCM of Fractions for 15/631, 26/182, 842/697 is 164190.