Least Common Multiple of 19/182, 370/450, 367/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/182, 370/450, 367/406 quickly i.e. 1290005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/182, 370/450, 367/406 is 1290005.

LCM(19/182, 370/450, 367/406) = 1290005

LCM of 19/182, 370/450, 367/406

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 19/182,370/450,367/406

Given numbers are 19/182,370/450,367/406

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 19,370,367

Least Common Multiple of Numerators i.e. LCM of 19,370,367 is 2580010.

GCF of Denominators means GCF of 182,450,406 as per the given fractions.

GCF of 182,450,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,370,367

LCM of Fractions 19/182,370/450,367/406 is 1290005

Given numbers has no common factors except 1. So, there LCM is their product i.e 2580010

Least Common Multiple of 19,370,367 with GCF Formula

Least Common Multiple of 19,370,367 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 19,370,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,370,367) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,370,367) x common factors =1 x 1 = 1

LCM(19,370,367) = ( 19 × 370 × 367 ) / 1

LCM(19,370,367) = 2580010 / 1

LCM(19,370,367) = 2580010


Lets's calculate GCF of 182,450,406

2 182, 450, 406
91, 225, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2580010/2

Therefore the LCM of Fractions 19/182,370/450,367/406 is 1290005

Greatest Common Factor of 182,450,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,450,406 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 182,450,406 . The biggest common factor number is the GCF number.
So the greatest common factor 182,450,406 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 19/182, 370/450, 367/406

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 19/182, 370/450, 367/406?

Answer: LCM of Numerators as per given numbers 19/182, 370/450, 367/406 is

LCM of Numerators i.e. for 19,370,367 is 2580010

GCF of denominators i.e. for 182,450,406 is 2.

Thus, LCM of Fractions is 1290005.Finally, LCM of Fractions for 19/182, 370/450, 367/406 is 1290005.