Least Common Multiple of 16/71, 39/31, 40/96, 231/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/71, 39/31, 40/96, 231/67 quickly i.e. 240240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/71, 39/31, 40/96, 231/67 is 240240.

LCM(16/71, 39/31, 40/96, 231/67) = 240240

LCM of 16/71, 39/31, 40/96, 231/67

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 16/71,39/31,40/96,231/67

Given numbers are 16/71,39/31,40/96,231/67

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 16,39,40,231

Least Common Multiple of Numerators i.e. LCM of 16,39,40,231 is 240240.

GCF of Denominators means GCF of 71,31,96,67 as per the given fractions.

GCF of 71,31,96,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,39,40,231

LCM of Fractions 16/71,39/31,40/96,231/67 is 240240

2 16, 39, 40, 231
2 8, 39, 20, 231
2 4, 39, 10, 231
3 2, 39, 5, 231
2, 13, 5, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 13 x 5 x 77 = 240240

Least Common Multiple of 16,39,40,231 with GCF Formula

Least Common Multiple of 16,39,40,231 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 16,39,40,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,39,40,231) = 1

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

GCF(16,39,40,231) x common factors =1 x 24 = 24

LCM(16,39,40,231) = ( 16 × 39 × 40 × 231 ) / 24

LCM(16,39,40,231) = 5765760 / 24

LCM(16,39,40,231) = 240240


Lets's calculate GCF of 71,31,96,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240240/1

Therefore the LCM of Fractions 16/71,39/31,40/96,231/67 is 240240

Greatest Common Factor of 71,31,96,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,31,96,67 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 71,31,96,67 . The biggest common factor number is the GCF number.
So the greatest common factor 71,31,96,67 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 16/71, 39/31, 40/96, 231/67

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 16/71, 39/31, 40/96, 231/67?

Answer: LCM of Numerators as per given numbers 16/71, 39/31, 40/96, 231/67 is

LCM of Numerators i.e. for 16,39,40,231 is 240240

GCF of denominators i.e. for 71,31,96,67 is 1.

Thus, LCM of Fractions is 240240.Finally, LCM of Fractions for 16/71, 39/31, 40/96, 231/67 is 240240.