Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 141/155, 3655/460 quickly i.e. 103071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 141/155, 3655/460 is 103071.
LCM(141/155, 3655/460) = 103071
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 141/155,3655/460
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 141,3655
Least Common Multiple of Numerators i.e. LCM of 141,3655 is 515355.
GCF of Denominators means GCF of 155,460 as per the given fractions.
GCF of 155,460 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 141,3655
Given numbers has no common factors except 1. So, there LCM is their product i.e 515355
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 141,3655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,3655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,3655) x common factors =1 x 1 = 1
LCM(141,3655) = ( 141 × 3655 ) / 1
LCM(141,3655) = 515355 / 1
LCM(141,3655) = 515355
Lets's calculate GCF of 155,460
5 | 155, 460 |
31, 92 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515355/5
Therefore the LCM of Fractions 141/155,3655/460 is 103071
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 155,460 . The biggest common factor number is the GCF number.
So the greatest common factor 155,460 is 5.
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 141/155, 3655/460?
Answer: LCM of Numerators as per given numbers 141/155, 3655/460 is
LCM of Numerators i.e. for 141,3655 is 515355
GCF of denominators i.e. for 155,460 is 5.
Thus, LCM of Fractions is 103071.Finally, LCM of Fractions for 141/155, 3655/460 is 103071.