Given numbers are 406,540,226,350,413

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

The LCM of 406,540,226,350,413 is 3654182700.

Find LCM of 406,540,226,350,413 with Prime Factorization

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

2 x 5 x 7 x 29 x 54 x 113 x 5 x 59 = 3654182700

Therefore, the lowest common multiple of 406,540,226,350,413 is 3654182700.

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.

406 x 540 x 226 x 350 x 413 = 7162198092000

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

226 : 1, 2, 113, 226

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,540,226,350,413, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

540:2x 2x 3x 3x 3x 5

226:2x 113

350:2x 5x 5x 7

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 5x 7x 7 = 1960

Therefore, the value for common factors is 1960.

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 = 7162198092000/(1x1960)

LCM = 7162198092000/1960

LCM = 3654182700

Thus, we can understand that the LCM of 406,540,226,350,413 is 3654182700.

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

• LCM of 217, 181, 224, 355, 339
• LCM of 389, 662, 235, 543, 155
• LCM of 130, 849, 456, 327, 786
• LCM of 293, 438, 903, 920, 290
• LCM of 491, 112, 867, 722, 170

1. What is the LCM of 406, 540, 226, 350, 413?

Answer: LCM of 406, 540, 226, 350, 413 is 3654182700.

2. How to calculate the LCM of 406, 540, 226, 350, 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 406, 540, 226, 350, 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}.