Least Common Multiple of 72/404, 62/450, 507/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/404, 62/450, 507/666 quickly i.e. 188604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/404, 62/450, 507/666 is 188604.

LCM(72/404, 62/450, 507/666) = 188604

LCM of 72/404, 62/450, 507/666

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 72/404,62/450,507/666

Given numbers are 72/404,62/450,507/666

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 72,62,507

Least Common Multiple of Numerators i.e. LCM of 72,62,507 is 377208.

GCF of Denominators means GCF of 404,450,666 as per the given fractions.

GCF of 404,450,666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,62,507

LCM of Fractions 72/404,62/450,507/666 is 188604

2 72, 62, 507
3 36, 31, 507
12, 31, 169

∴ So the LCM of the given numbers is 2 x 3 x 12 x 31 x 169 = 377208

Least Common Multiple of 72,62,507 with GCF Formula

Least Common Multiple of 72,62,507 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 72,62,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,62,507) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,62,507) x common factors =1 x 6 = 6

LCM(72,62,507) = ( 72 × 62 × 507 ) / 6

LCM(72,62,507) = 2263248 / 6

LCM(72,62,507) = 377208


Lets's calculate GCF of 404,450,666

2 404, 450, 666
202, 225, 333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377208/2

Therefore the LCM of Fractions 72/404,62/450,507/666 is 188604

Greatest Common Factor of 404,450,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,450,666 By Matching Biggest Common Factor Method

Factors of 404

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

1,2,4,101,202,404

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 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 404,450,666 . The biggest common factor number is the GCF number.
So the greatest common factor 404,450,666 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 72/404, 62/450, 507/666

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 72/404, 62/450, 507/666?

Answer: LCM of Numerators as per given numbers 72/404, 62/450, 507/666 is

LCM of Numerators i.e. for 72,62,507 is 377208

GCF of denominators i.e. for 404,450,666 is 2.

Thus, LCM of Fractions is 188604.Finally, LCM of Fractions for 72/404, 62/450, 507/666 is 188604.