Given numbers are 495,560,408,413

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

The LCM of 495,560,408,413 is 55606320.

Find LCM of 495,560,408,413 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 33 x 2 x 17 x 59 = 55606320

Therefore, the lowest common multiple of 495,560,408,413 is 55606320.

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.

495 x 560 x 408 x 413 = 46709308800

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,560,408,413, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

560:2x 2x 2x 2x 5x 7

408:2x 2x 2x 3x 17

413:7x 59

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 7 = 840

Therefore, the value for common factors is 840.

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 = 46709308800/(1x840)

LCM = 46709308800/840

LCM = 55606320

Thus, we can understand that the LCM of 495,560,408,413 is 55606320.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 283, 332, 505, 970
• LCM of 891, 556, 717, 543
• LCM of 608, 456, 826, 368
• LCM of 190, 884, 647, 506
• LCM of 928, 961, 233, 878

1. What is the LCM of 495, 560, 408, 413?

Answer: LCM of 495, 560, 408, 413 is 55606320.

2. How to calculate the LCM of 495, 560, 408, 413?

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 495, 560, 408, 413.

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}.