Least Common Multiple of 16/311, 47/330, 187/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/311, 47/330, 187/754 quickly i.e. 140624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/311, 47/330, 187/754 is 140624.

LCM(16/311, 47/330, 187/754) = 140624

LCM of 16/311, 47/330, 187/754

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 16/311,47/330,187/754

Given numbers are 16/311,47/330,187/754

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 16,47,187

Least Common Multiple of Numerators i.e. LCM of 16,47,187 is 140624.

GCF of Denominators means GCF of 311,330,754 as per the given fractions.

GCF of 311,330,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,47,187

LCM of Fractions 16/311,47/330,187/754 is 140624

Given numbers has no common factors except 1. So, there LCM is their product i.e 140624

Least Common Multiple of 16,47,187 with GCF Formula

Least Common Multiple of 16,47,187 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 16,47,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,47,187) = 1

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

GCF(16,47,187) x common factors =1 x 1 = 1

LCM(16,47,187) = ( 16 × 47 × 187 ) / 1

LCM(16,47,187) = 140624 / 1

LCM(16,47,187) = 140624


Lets's calculate GCF of 311,330,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140624/1

Therefore the LCM of Fractions 16/311,47/330,187/754 is 140624

Greatest Common Factor of 311,330,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,330,754 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 311,330,754 . The biggest common factor number is the GCF number.
So the greatest common factor 311,330,754 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 16/311, 47/330, 187/754

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 16/311, 47/330, 187/754?

Answer: LCM of Numerators as per given numbers 16/311, 47/330, 187/754 is

LCM of Numerators i.e. for 16,47,187 is 140624

GCF of denominators i.e. for 311,330,754 is 1.

Thus, LCM of Fractions is 140624.Finally, LCM of Fractions for 16/311, 47/330, 187/754 is 140624.