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LCM of 363, 549, 405, 164

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


Find the LCM of 363, 549, 405, 164 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 363, 549, 405, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,549,405,164

Given numbers are 363,549,405,164

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

The LCM of 363,549,405,164 is 490246020.

Find LCM of 363,549,405,164 with Prime Factorization


3 363, 549, 405, 164
3 121, 183, 135, 164
121, 61, 45, 164

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

3 x 3 x 121 x 61 x 45 x 164 = 490246020

Therefore, the lowest common multiple of 363,549,405,164 is 490246020.

LCM Formula to Find Lowest Common Multiple of 363,549,405,164

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.

363 x 549 x 405 x 164 = 13236642540

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.

363 : 1, 3, 11, 33, 121, 363

549 : 1, 3, 9, 61, 183, 549

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,549,405,164, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

549:3x 3x 61

405:3x 3x 3x 3x 5

164:2x 2x 41

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 13236642540/(1x27)

LCM = 13236642540/27

LCM = 490246020

Thus, we can understand that the LCM of 363,549,405,164 is 490246020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 549, 405, 164

1. What is the LCM of 363, 549, 405, 164?

Answer: LCM of 363, 549, 405, 164 is 490246020.

2. How to calculate the LCM of 363, 549, 405, 164?

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 363, 549, 405, 164.

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}.