Least Common Multiple of 14/22, 86/16, 43/94, 71/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/22, 86/16, 43/94, 71/162 quickly i.e. 21371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/22, 86/16, 43/94, 71/162 is 21371.

LCM(14/22, 86/16, 43/94, 71/162) = 21371

LCM of 14/22, 86/16, 43/94, 71/162

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 14/22,86/16,43/94,71/162

Given numbers are 14/22,86/16,43/94,71/162

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 14,86,43,71

Least Common Multiple of Numerators i.e. LCM of 14,86,43,71 is 42742.

GCF of Denominators means GCF of 22,16,94,162 as per the given fractions.

GCF of 22,16,94,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,86,43,71

LCM of Fractions 14/22,86/16,43/94,71/162 is 21371

2 14, 86, 43, 71
43 7, 43, 43, 71
7, 1, 1, 71

∴ So the LCM of the given numbers is 2 x 43 x 7 x 1 x 1 x 71 = 42742

Least Common Multiple of 14,86,43,71 with GCF Formula

Least Common Multiple of 14,86,43,71 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 14,86,43,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,86,43,71) = 1

common factors(in case of two or more numbers have common factors) = 86

GCF(14,86,43,71) x common factors =1 x 86 = 86

LCM(14,86,43,71) = ( 14 × 86 × 43 × 71 ) / 86

LCM(14,86,43,71) = 3675812 / 86

LCM(14,86,43,71) = 42742


Lets's calculate GCF of 22,16,94,162

2 22, 16, 94, 162
11, 8, 47, 81

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42742/2

Therefore the LCM of Fractions 14/22,86/16,43/94,71/162 is 21371

Greatest Common Factor of 22,16,94,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,16,94,162 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 22,16,94,162 . The biggest common factor number is the GCF number.
So the greatest common factor 22,16,94,162 is 2.


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 14/22, 86/16, 43/94, 71/162

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 14/22, 86/16, 43/94, 71/162?

Answer: LCM of Numerators as per given numbers 14/22, 86/16, 43/94, 71/162 is

LCM of Numerators i.e. for 14,86,43,71 is 42742

GCF of denominators i.e. for 22,16,94,162 is 2.

Thus, LCM of Fractions is 21371.Finally, LCM of Fractions for 14/22, 86/16, 43/94, 71/162 is 21371.