Given numbers are 221,117,624,464,413

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

The LCM of 221,117,624,464,413 is 381156048.

Find LCM of 221,117,624,464,413 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 17 x 1 x 3 x 29 x 413 = 381156048

Therefore, the lowest common multiple of 221,117,624,464,413 is 381156048.

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.

221 x 117 x 624 x 464 x 413 = 3091937861376

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.

221 : 1, 13, 17, 221

117 : 1, 3, 9, 13, 39, 117

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,117,624,464,413, is 1.

Now, the common factors can be found like this.

221:13x 17

117:3x 3x 13

624:2x 2x 2x 2x 3x 13

464:2x 2x 2x 2x 29

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 2x 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 3091937861376/(1x8112)

LCM = 3091937861376/8112

LCM = 381156048

Thus, we can understand that the LCM of 221,117,624,464,413 is 381156048.

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

• LCM of 232, 623, 941, 451, 420
• LCM of 800, 139, 940, 573, 109
• LCM of 230, 507, 290, 135, 423
• LCM of 977, 786, 270, 142, 352
• LCM of 798, 486, 968, 509, 190

1. What is the LCM of 221, 117, 624, 464, 413?

Answer: LCM of 221, 117, 624, 464, 413 is 381156048.

2. How to calculate the LCM of 221, 117, 624, 464, 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 221, 117, 624, 464, 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}.