Given numbers are 432,420,805,484,395

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

The LCM of 432,420,805,484,395 is 3324237840.

Find LCM of 432,420,805,484,395 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 36 x 1 x 23 x 121 x 79 = 3324237840

Therefore, the lowest common multiple of 432,420,805,484,395 is 3324237840.

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.

432 x 420 x 805 x 484 x 395 = 27923597856000

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

805 : 1, 5, 7, 23, 35, 115, 161, 805

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

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,420,805,484,395, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

420:2x 2x 3x 5x 7

805:5x 7x 23

484:2x 2x 11x 11

395:5x 79

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 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 27923597856000/(1x8400)

LCM = 27923597856000/8400

LCM = 3324237840

Thus, we can understand that the LCM of 432,420,805,484,395 is 3324237840.

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

• LCM of 700, 571, 895, 577, 342
• LCM of 704, 364, 462, 116, 567
• LCM of 388, 277, 772, 823, 786
• LCM of 222, 751, 430, 692, 271
• LCM of 271, 114, 929, 483, 806

1. What is the LCM of 432, 420, 805, 484, 395?

Answer: LCM of 432, 420, 805, 484, 395 is 3324237840.

2. How to calculate the LCM of 432, 420, 805, 484, 395?

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 432, 420, 805, 484, 395.

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}.