Least Common Multiple of 14/380, 73/234, 590/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/380, 73/234, 590/622 quickly i.e. 150745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/380, 73/234, 590/622 is 150745.

LCM(14/380, 73/234, 590/622) = 150745

LCM of 14/380, 73/234, 590/622

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 14/380,73/234,590/622

Given numbers are 14/380,73/234,590/622

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 14,73,590

Least Common Multiple of Numerators i.e. LCM of 14,73,590 is 301490.

GCF of Denominators means GCF of 380,234,622 as per the given fractions.

GCF of 380,234,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,73,590

LCM of Fractions 14/380,73/234,590/622 is 150745

2 14, 73, 590
7, 73, 295

∴ So the LCM of the given numbers is 2 x 7 x 73 x 295 = 301490

Least Common Multiple of 14,73,590 with GCF Formula

Least Common Multiple of 14,73,590 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 14,73,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,73,590) = 1

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

GCF(14,73,590) x common factors =1 x 2 = 2

LCM(14,73,590) = ( 14 × 73 × 590 ) / 2

LCM(14,73,590) = 602980 / 2

LCM(14,73,590) = 301490


Lets's calculate GCF of 380,234,622

2 380, 234, 622
190, 117, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301490/2

Therefore the LCM of Fractions 14/380,73/234,590/622 is 150745

Greatest Common Factor of 380,234,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,234,622 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 380,234,622 . The biggest common factor number is the GCF number.
So the greatest common factor 380,234,622 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 14/380, 73/234, 590/622

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 14/380, 73/234, 590/622?

Answer: LCM of Numerators as per given numbers 14/380, 73/234, 590/622 is

LCM of Numerators i.e. for 14,73,590 is 301490

GCF of denominators i.e. for 380,234,622 is 2.

Thus, LCM of Fractions is 150745.Finally, LCM of Fractions for 14/380, 73/234, 590/622 is 150745.