Least Common Multiple of 16/642, 5614/4165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/642, 5614/4165 quickly i.e. 44912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/642, 5614/4165 is 44912.

LCM(16/642, 5614/4165) = 44912

LCM of 16/642, 5614/4165

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 16/642,5614/4165

Given numbers are 16/642,5614/4165

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 16,5614

Least Common Multiple of Numerators i.e. LCM of 16,5614 is 44912.

GCF of Denominators means GCF of 642,4165 as per the given fractions.

GCF of 642,4165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,5614

LCM of Fractions 16/642,5614/4165 is 44912

2 16, 5614
8, 2807

∴ So the LCM of the given numbers is 2 x 8 x 2807 = 44912

Least Common Multiple of 16,5614 with GCF Formula

Least Common Multiple of 16,5614 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 16,5614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,5614) = 2

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

GCF(16,5614) x common factors =2 x 1 = 2

LCM(16,5614) = ( 16 × 5614 ) / 2

LCM(16,5614) = 89824 / 2

LCM(16,5614) = 44912


Lets's calculate GCF of 642,4165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44912/1

Therefore the LCM of Fractions 16/642,5614/4165 is 44912

Greatest Common Factor of 642,4165 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,4165 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 4165

List of positive integer factors of 4165 that divides 4165 without a remainder.

1,5,7,17,35,49,85,119,245,595,833,4165

Greatest Common Factor

We found the factors 642,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 642,4165 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 16/642, 5614/4165

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 16/642, 5614/4165?

Answer: LCM of Numerators as per given numbers 16/642, 5614/4165 is

LCM of Numerators i.e. for 16,5614 is 44912

GCF of denominators i.e. for 642,4165 is 1.

Thus, LCM of Fractions is 44912.Finally, LCM of Fractions for 16/642, 5614/4165 is 44912.