Least Common Multiple of 141/16, 363/1204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/16, 363/1204 quickly i.e. 17061/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/16, 363/1204 is 17061/4.

LCM(141/16, 363/1204) = 17061/4

LCM of 141/16, 363/1204

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 141/16,363/1204

Given numbers are 141/16,363/1204

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 141,363

Least Common Multiple of Numerators i.e. LCM of 141,363 is 17061.

GCF of Denominators means GCF of 16,1204 as per the given fractions.

GCF of 16,1204 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,363

LCM of Fractions 141/16,363/1204 is 17061/4

3 141, 363
47, 121

∴ So the LCM of the given numbers is 3 x 47 x 121 = 17061

Least Common Multiple of 141,363 with GCF Formula

Least Common Multiple of 141,363 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 141,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,363) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(141,363) x common factors =3 x 1 = 3

LCM(141,363) = ( 141 × 363 ) / 3

LCM(141,363) = 51183 / 3

LCM(141,363) = 17061


Lets's calculate GCF of 16,1204

2 16, 1204
2 8, 602
4, 301

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17061/4

Therefore the LCM of Fractions 141/16,363/1204 is 17061/4

Greatest Common Factor of 16,1204 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1204 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1,2,4,7,14,28,43,86,172,301,602,1204

Greatest Common Factor

We found the factors 16,1204 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1204 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 141/16, 363/1204

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 141/16, 363/1204?

Answer: LCM of Numerators as per given numbers 141/16, 363/1204 is

LCM of Numerators i.e. for 141,363 is 17061

GCF of denominators i.e. for 16,1204 is 4.

Thus, LCM of Fractions is 17061/4.Finally, LCM of Fractions for 141/16, 363/1204 is 17061/4.