Least Common Multiple of 141/155, 3655/460

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

LCM of 141/155, 3655/460

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 141/155,3655/460

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

LCM of Fractions 141/155,3655/460 is 103071

Given numbers has no common factors except 1. So, there LCM is their product i.e 515355

Least Common Multiple of 141,3655 with GCF Formula

Least Common Multiple of 141,3655 with GCF Formula

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

Greatest Common Factor of 155,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,460 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 141/155, 3655/460

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.