Least Common Multiple of 16/283, 74/616, 214/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/283, 74/616, 214/128 quickly i.e. 63344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/283, 74/616, 214/128 is 63344.

LCM(16/283, 74/616, 214/128) = 63344

LCM of 16/283, 74/616, 214/128

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 16/283,74/616,214/128

Given numbers are 16/283,74/616,214/128

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 16,74,214

Least Common Multiple of Numerators i.e. LCM of 16,74,214 is 63344.

GCF of Denominators means GCF of 283,616,128 as per the given fractions.

GCF of 283,616,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,74,214

LCM of Fractions 16/283,74/616,214/128 is 63344

2 16, 74, 214
8, 37, 107

∴ So the LCM of the given numbers is 2 x 8 x 37 x 107 = 63344

Least Common Multiple of 16,74,214 with GCF Formula

Least Common Multiple of 16,74,214 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 16,74,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,74,214) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(16,74,214) x common factors =2 x 2 = 4

LCM(16,74,214) = ( 16 × 74 × 214 ) / 4

LCM(16,74,214) = 253376 / 4

LCM(16,74,214) = 63344


Lets's calculate GCF of 283,616,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63344/1

Therefore the LCM of Fractions 16/283,74/616,214/128 is 63344

Greatest Common Factor of 283,616,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,616,128 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 283,616,128 . The biggest common factor number is the GCF number.
So the greatest common factor 283,616,128 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 16/283, 74/616, 214/128

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 16/283, 74/616, 214/128?

Answer: LCM of Numerators as per given numbers 16/283, 74/616, 214/128 is

LCM of Numerators i.e. for 16,74,214 is 63344

GCF of denominators i.e. for 283,616,128 is 1.

Thus, LCM of Fractions is 63344.Finally, LCM of Fractions for 16/283, 74/616, 214/128 is 63344.