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LCM of 322, 361, 399

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


Find the LCM of 322, 361, 399 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, 361, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,361,399

Given numbers are 322,361,399

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

The LCM of 322,361,399 is 348726.

Find LCM of 322,361,399 with Prime Factorization


7 322, 361, 399
19 46, 361, 57
46, 19, 3

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

7 x 19 x 46 x 19 x 3 = 348726

Therefore, the lowest common multiple of 322,361,399 is 348726.

LCM Formula to Find Lowest Common Multiple of 322,361,399

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 361 x 399 = 46380558

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

361 : 1, 19, 361

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,361,399, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

361:19x 19

399:3x 7x 19

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 46380558/(1x133)

LCM = 46380558/133

LCM = 348726

Thus, we can understand that the LCM of 322,361,399 is 348726.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 322, 361, 399

1. What is the LCM of 322, 361, 399?

Answer: LCM of 322, 361, 399 is 348726.

2. How to calculate the LCM of 322, 361, 399?

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, 361, 399.

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}.