Least Common Multiple of 14/322, 622/42, 218/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/322, 622/42, 218/404 quickly i.e. 237293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/322, 622/42, 218/404 is 237293.

LCM(14/322, 622/42, 218/404) = 237293

LCM of 14/322, 622/42, 218/404

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 14/322,622/42,218/404

Given numbers are 14/322,622/42,218/404

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 14,622,218

Least Common Multiple of Numerators i.e. LCM of 14,622,218 is 474586.

GCF of Denominators means GCF of 322,42,404 as per the given fractions.

GCF of 322,42,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,622,218

LCM of Fractions 14/322,622/42,218/404 is 237293

2 14, 622, 218
7, 311, 109

∴ So the LCM of the given numbers is 2 x 7 x 311 x 109 = 474586

Least Common Multiple of 14,622,218 with GCF Formula

Least Common Multiple of 14,622,218 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 14,622,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,622,218) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,622,218) x common factors =2 x 2 = 4

LCM(14,622,218) = ( 14 × 622 × 218 ) / 4

LCM(14,622,218) = 1898344 / 4

LCM(14,622,218) = 474586


Lets's calculate GCF of 322,42,404

2 322, 42, 404
161, 21, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474586/2

Therefore the LCM of Fractions 14/322,622/42,218/404 is 237293

Greatest Common Factor of 322,42,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,42,404 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 322,42,404 . The biggest common factor number is the GCF number.
So the greatest common factor 322,42,404 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 14/322, 622/42, 218/404

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 14/322, 622/42, 218/404?

Answer: LCM of Numerators as per given numbers 14/322, 622/42, 218/404 is

LCM of Numerators i.e. for 14,622,218 is 474586

GCF of denominators i.e. for 322,42,404 is 2.

Thus, LCM of Fractions is 237293.Finally, LCM of Fractions for 14/322, 622/42, 218/404 is 237293.