Least Common Multiple of 14/440, 22/591, 210/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/440, 22/591, 210/140 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/440, 22/591, 210/140 is 2310.

LCM(14/440, 22/591, 210/140) = 2310

LCM of 14/440, 22/591, 210/140

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 14/440,22/591,210/140

Given numbers are 14/440,22/591,210/140

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 14,22,210

Least Common Multiple of Numerators i.e. LCM of 14,22,210 is 2310.

GCF of Denominators means GCF of 440,591,140 as per the given fractions.

GCF of 440,591,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,22,210

LCM of Fractions 14/440,22/591,210/140 is 2310

2 14, 22, 210
7 7, 11, 105
1, 11, 15

∴ So the LCM of the given numbers is 2 x 7 x 1 x 11 x 15 = 2310

Least Common Multiple of 14,22,210 with GCF Formula

Least Common Multiple of 14,22,210 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 14,22,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,22,210) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(14,22,210) x common factors =2 x 14 = 28

LCM(14,22,210) = ( 14 × 22 × 210 ) / 28

LCM(14,22,210) = 64680 / 28

LCM(14,22,210) = 2310


Lets's calculate GCF of 440,591,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2310/1

Therefore the LCM of Fractions 14/440,22/591,210/140 is 2310

Greatest Common Factor of 440,591,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,591,140 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 440,591,140 . The biggest common factor number is the GCF number.
So the greatest common factor 440,591,140 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 14/440, 22/591, 210/140

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 14/440, 22/591, 210/140?

Answer: LCM of Numerators as per given numbers 14/440, 22/591, 210/140 is

LCM of Numerators i.e. for 14,22,210 is 2310

GCF of denominators i.e. for 440,591,140 is 1.

Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 14/440, 22/591, 210/140 is 2310.