Least Common Multiple of 14/21, 11/34, 189/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/21, 11/34, 189/465 quickly i.e. 4158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/21, 11/34, 189/465 is 4158.

LCM(14/21, 11/34, 189/465) = 4158

LCM of 14/21, 11/34, 189/465

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 14/21,11/34,189/465

Given numbers are 14/21,11/34,189/465

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 14,11,189

Least Common Multiple of Numerators i.e. LCM of 14,11,189 is 4158.

GCF of Denominators means GCF of 21,34,465 as per the given fractions.

GCF of 21,34,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,11,189

LCM of Fractions 14/21,11/34,189/465 is 4158

7 14, 11, 189
2, 11, 27

∴ So the LCM of the given numbers is 7 x 2 x 11 x 27 = 4158

Least Common Multiple of 14,11,189 with GCF Formula

Least Common Multiple of 14,11,189 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 14,11,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,11,189) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(14,11,189) x common factors =1 x 7 = 7

LCM(14,11,189) = ( 14 × 11 × 189 ) / 7

LCM(14,11,189) = 29106 / 7

LCM(14,11,189) = 4158


Lets's calculate GCF of 21,34,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4158/1

Therefore the LCM of Fractions 14/21,11/34,189/465 is 4158

Greatest Common Factor of 21,34,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,34,465 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 21,34,465 . The biggest common factor number is the GCF number.
So the greatest common factor 21,34,465 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 14/21, 11/34, 189/465

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 14/21, 11/34, 189/465?

Answer: LCM of Numerators as per given numbers 14/21, 11/34, 189/465 is

LCM of Numerators i.e. for 14,11,189 is 4158

GCF of denominators i.e. for 21,34,465 is 1.

Thus, LCM of Fractions is 4158.Finally, LCM of Fractions for 14/21, 11/34, 189/465 is 4158.