Least Common Multiple of 16/869, 33/255, 704/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/869, 33/255, 704/383 quickly i.e. 2112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/869, 33/255, 704/383 is 2112.

LCM(16/869, 33/255, 704/383) = 2112

LCM of 16/869, 33/255, 704/383

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 16/869,33/255,704/383

Given numbers are 16/869,33/255,704/383

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 16,33,704

Least Common Multiple of Numerators i.e. LCM of 16,33,704 is 2112.

GCF of Denominators means GCF of 869,255,383 as per the given fractions.

GCF of 869,255,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,33,704

LCM of Fractions 16/869,33/255,704/383 is 2112

2 16, 33, 704
2 8, 33, 352
2 4, 33, 176
2 2, 33, 88
11 1, 33, 44
1, 3, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 1 x 3 x 4 = 2112

Least Common Multiple of 16,33,704 with GCF Formula

Least Common Multiple of 16,33,704 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 16,33,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,33,704) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(16,33,704) x common factors =1 x 176 = 176

LCM(16,33,704) = ( 16 × 33 × 704 ) / 176

LCM(16,33,704) = 371712 / 176

LCM(16,33,704) = 2112


Lets's calculate GCF of 869,255,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2112/1

Therefore the LCM of Fractions 16/869,33/255,704/383 is 2112

Greatest Common Factor of 869,255,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,255,383 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 869,255,383 . The biggest common factor number is the GCF number.
So the greatest common factor 869,255,383 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 16/869, 33/255, 704/383

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 16/869, 33/255, 704/383?

Answer: LCM of Numerators as per given numbers 16/869, 33/255, 704/383 is

LCM of Numerators i.e. for 16,33,704 is 2112

GCF of denominators i.e. for 869,255,383 is 1.

Thus, LCM of Fractions is 2112.Finally, LCM of Fractions for 16/869, 33/255, 704/383 is 2112.