Given numbers are 414,355,710,812,880

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

The LCM of 414,355,710,812,880 is 2625472080.

Find LCM of 414,355,710,812,880 with Prime Factorization

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

2 x 2 x 5 x 71 x 207 x 1 x 1 x 203 x 44 = 2625472080

Therefore, the lowest common multiple of 414,355,710,812,880 is 2625472080.

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.

414 x 355 x 710 x 812 x 880 = 74563407072000

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

355 : 1, 5, 71, 355

710 : 1, 2, 5, 10, 71, 142, 355, 710

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,355,710,812,880, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

355:5x 71

710:2x 5x 71

812:2x 2x 7x 29

880:2x 2x 2x 2x 5x 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 2x 5x 5x 71 = 28400

Therefore, the value for common factors is 28400.

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 = 74563407072000/(1x28400)

LCM = 74563407072000/28400

LCM = 2625472080

Thus, we can understand that the LCM of 414,355,710,812,880 is 2625472080.

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

• LCM of 200, 189, 413, 489, 409
• LCM of 680, 116, 978, 663, 130
• LCM of 920, 679, 663, 177, 557
• LCM of 833, 803, 515, 455, 429
• LCM of 377, 555, 220, 364, 672

1. What is the LCM of 414, 355, 710, 812, 880?

Answer: LCM of 414, 355, 710, 812, 880 is 2625472080.

2. How to calculate the LCM of 414, 355, 710, 812, 880?

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 414, 355, 710, 812, 880.

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}.