Least Common Multiple of 16/41, 713/89, 328/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/41, 713/89, 328/142 quickly i.e. 467728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/41, 713/89, 328/142 is 467728.

LCM(16/41, 713/89, 328/142) = 467728

LCM of 16/41, 713/89, 328/142

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 16/41,713/89,328/142

Given numbers are 16/41,713/89,328/142

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 16,713,328

Least Common Multiple of Numerators i.e. LCM of 16,713,328 is 467728.

GCF of Denominators means GCF of 41,89,142 as per the given fractions.

GCF of 41,89,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,713,328

LCM of Fractions 16/41,713/89,328/142 is 467728

2 16, 713, 328
2 8, 713, 164
2 4, 713, 82
2, 713, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 713 x 41 = 467728

Least Common Multiple of 16,713,328 with GCF Formula

Least Common Multiple of 16,713,328 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 16,713,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,713,328) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(16,713,328) x common factors =1 x 8 = 8

LCM(16,713,328) = ( 16 × 713 × 328 ) / 8

LCM(16,713,328) = 3741824 / 8

LCM(16,713,328) = 467728


Lets's calculate GCF of 41,89,142

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467728/1

Therefore the LCM of Fractions 16/41,713/89,328/142 is 467728

Greatest Common Factor of 41,89,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,89,142 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 41,89,142 . The biggest common factor number is the GCF number.
So the greatest common factor 41,89,142 is 1.


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 16/41, 713/89, 328/142

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 16/41, 713/89, 328/142?

Answer: LCM of Numerators as per given numbers 16/41, 713/89, 328/142 is

LCM of Numerators i.e. for 16,713,328 is 467728

GCF of denominators i.e. for 41,89,142 is 1.

Thus, LCM of Fractions is 467728.Finally, LCM of Fractions for 16/41, 713/89, 328/142 is 467728.