Least Common Multiple of 331/14, 240/19, 372/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/14, 240/19, 372/18 quickly i.e. 2462640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/14, 240/19, 372/18 is 2462640.

LCM(331/14, 240/19, 372/18) = 2462640

LCM of 331/14, 240/19, 372/18

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 331/14,240/19,372/18

Given numbers are 331/14,240/19,372/18

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 331,240,372

Least Common Multiple of Numerators i.e. LCM of 331,240,372 is 2462640.

GCF of Denominators means GCF of 14,19,18 as per the given fractions.

GCF of 14,19,18 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,240,372

LCM of Fractions 331/14,240/19,372/18 is 2462640

2 331, 240, 372
2 331, 120, 186
3 331, 60, 93
331, 20, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 331 x 20 x 31 = 2462640

Least Common Multiple of 331,240,372 with GCF Formula

Least Common Multiple of 331,240,372 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 331,240,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,240,372) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(331,240,372) x common factors =1 x 12 = 12

LCM(331,240,372) = ( 331 × 240 × 372 ) / 12

LCM(331,240,372) = 29551680 / 12

LCM(331,240,372) = 2462640


Lets's calculate GCF of 14,19,18

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2462640/1

Therefore the LCM of Fractions 331/14,240/19,372/18 is 2462640

Greatest Common Factor of 14,19,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,19,18 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 14,19,18 . The biggest common factor number is the GCF number.
So the greatest common factor 14,19,18 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 331/14, 240/19, 372/18

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 331/14, 240/19, 372/18?

Answer: LCM of Numerators as per given numbers 331/14, 240/19, 372/18 is

LCM of Numerators i.e. for 331,240,372 is 2462640

GCF of denominators i.e. for 14,19,18 is 1.

Thus, LCM of Fractions is 2462640.Finally, LCM of Fractions for 331/14, 240/19, 372/18 is 2462640.