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LCM of 322, 227, 728, 407

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 322, 227, 728, 407 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 322, 227, 728, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,227,728,407

Given numbers are 322,227,728,407

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 322,227,728,407 is 1546961416.

Find LCM of 322,227,728,407 with Prime Factorization


2 322, 227, 728, 407
7 161, 227, 364, 407
23, 227, 52, 407

Multiply the prime numbers at the bottom and the left side.

2 x 7 x 23 x 227 x 52 x 407 = 1546961416

Therefore, the lowest common multiple of 322,227,728,407 is 1546961416.

LCM Formula to Find Lowest Common Multiple of 322,227,728,407

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

322 x 227 x 728 x 407 = 21657459824

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

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

227 : 1, 227

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,227,728,407, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

227:227

728:2x 2x 2x 7x 13

407:11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 21657459824/(1x14)

LCM = 21657459824/14

LCM = 1546961416

Thus, we can understand that the LCM of 322,227,728,407 is 1546961416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 227, 728, 407

1. What is the LCM of 322, 227, 728, 407?

Answer: LCM of 322, 227, 728, 407 is 1546961416.

2. How to calculate the LCM of 322, 227, 728, 407?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 322, 227, 728, 407.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.