Least Common Multiple of 16/853, 441/566, 744/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/853, 441/566, 744/149 quickly i.e. 218736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/853, 441/566, 744/149 is 218736.

LCM(16/853, 441/566, 744/149) = 218736

LCM of 16/853, 441/566, 744/149

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 16/853,441/566,744/149

Given numbers are 16/853,441/566,744/149

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 16,441,744

Least Common Multiple of Numerators i.e. LCM of 16,441,744 is 218736.

GCF of Denominators means GCF of 853,566,149 as per the given fractions.

GCF of 853,566,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,441,744

LCM of Fractions 16/853,441/566,744/149 is 218736

2 16, 441, 744
2 8, 441, 372
2 4, 441, 186
3 2, 441, 93
2, 147, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 147 x 31 = 218736

Least Common Multiple of 16,441,744 with GCF Formula

Least Common Multiple of 16,441,744 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 16,441,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,441,744) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(16,441,744) x common factors =1 x 24 = 24

LCM(16,441,744) = ( 16 × 441 × 744 ) / 24

LCM(16,441,744) = 5249664 / 24

LCM(16,441,744) = 218736


Lets's calculate GCF of 853,566,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218736/1

Therefore the LCM of Fractions 16/853,441/566,744/149 is 218736

Greatest Common Factor of 853,566,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,566,149 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 853,566,149 . The biggest common factor number is the GCF number.
So the greatest common factor 853,566,149 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 16/853, 441/566, 744/149

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 16/853, 441/566, 744/149?

Answer: LCM of Numerators as per given numbers 16/853, 441/566, 744/149 is

LCM of Numerators i.e. for 16,441,744 is 218736

GCF of denominators i.e. for 853,566,149 is 1.

Thus, LCM of Fractions is 218736.Finally, LCM of Fractions for 16/853, 441/566, 744/149 is 218736.