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LCM of 484, 405, 390, 352

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


Find the LCM of 484, 405, 390, 352 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 484, 405, 390, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,405,390,352

Given numbers are 484,405,390,352

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

The LCM of 484,405,390,352 is 20386080.

Find LCM of 484,405,390,352 with Prime Factorization


2 484, 405, 390, 352
2 242, 405, 195, 176
3 121, 405, 195, 88
5 121, 135, 65, 88
11 121, 27, 13, 88
11, 27, 13, 8

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

2 x 2 x 3 x 5 x 11 x 11 x 27 x 13 x 8 = 20386080

Therefore, the lowest common multiple of 484,405,390,352 is 20386080.

LCM Formula to Find Lowest Common Multiple of 484,405,390,352

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.

484 x 405 x 390 x 352 = 26909625600

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,405,390,352, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

405:3x 3x 3x 3x 5

390:2x 3x 5x 13

352:2x 2x 2x 2x 2x 11

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

2x 2x 2x 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 26909625600/(1x1320)

LCM = 26909625600/1320

LCM = 20386080

Thus, we can understand that the LCM of 484,405,390,352 is 20386080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 405, 390, 352

1. What is the LCM of 484, 405, 390, 352?

Answer: LCM of 484, 405, 390, 352 is 20386080.

2. How to calculate the LCM of 484, 405, 390, 352?

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 484, 405, 390, 352.

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}.