Given numbers are 684,990,828,503,692

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

The LCM of 684,990,828,503,692 is 75294059940.

Find LCM of 684,990,828,503,692 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 55 x 23 x 503 x 173 = 75294059940

Therefore, the lowest common multiple of 684,990,828,503,692 is 75294059940.

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.

684 x 990 x 828 x 503 x 692 = 195162203364480

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

503 : 1, 503

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,990,828,503,692, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

990:2x 3x 3x 5x 11

828:2x 2x 3x 3x 23

503:503

692:2x 2x 173

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 195162203364480/(1x2592)

LCM = 195162203364480/2592

LCM = 75294059940

Thus, we can understand that the LCM of 684,990,828,503,692 is 75294059940.

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

• LCM of 633, 247, 555, 911, 666
• LCM of 496, 269, 299, 882, 260
• LCM of 674, 281, 864, 406, 347
• LCM of 108, 835, 901, 641, 686
• LCM of 713, 468, 271, 352, 820

1. What is the LCM of 684, 990, 828, 503, 692?

Answer: LCM of 684, 990, 828, 503, 692 is 75294059940.

2. How to calculate the LCM of 684, 990, 828, 503, 692?

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 684, 990, 828, 503, 692.

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}.