Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 353/72, 141/18, 837/115 quickly i.e. 13886667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 353/72, 141/18, 837/115 is 13886667.
LCM(353/72, 141/18, 837/115) = 13886667
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 353/72,141/18,837/115
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 353,141,837
Least Common Multiple of Numerators i.e. LCM of 353,141,837 is 13886667.
GCF of Denominators means GCF of 72,18,115 as per the given fractions.
GCF of 72,18,115 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 353,141,837
3 | 353, 141, 837 |
353, 47, 279 |
∴ So the LCM of the given numbers is 3 x 353 x 47 x 279 = 13886667
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 353,141,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,141,837) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(353,141,837) x common factors =1 x 3 = 3
LCM(353,141,837) = ( 353 × 141 × 837 ) / 3
LCM(353,141,837) = 41660001 / 3
LCM(353,141,837) = 13886667
Lets's calculate GCF of 72,18,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13886667/1
Therefore the LCM of Fractions 353/72,141/18,837/115 is 13886667
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Greatest Common Factor
We found the factors 72,18,115 . The biggest common factor number is the GCF number.
So the greatest common factor 72,18,115 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 353/72, 141/18, 837/115?
Answer: LCM of Numerators as per given numbers 353/72, 141/18, 837/115 is
LCM of Numerators i.e. for 353,141,837 is 13886667
GCF of denominators i.e. for 72,18,115 is 1.
Thus, LCM of Fractions is 13886667.Finally, LCM of Fractions for 353/72, 141/18, 837/115 is 13886667.