Given numbers are 998,312,249,840,828

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

The LCM of 998,312,249,840,828 is 31206881160.

Find LCM of 998,312,249,840,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 499 x 13 x 83 x 35 x 69 = 31206881160

Therefore, the lowest common multiple of 998,312,249,840,828 is 31206881160.

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.

998 x 312 x 249 x 840 x 828 = 53925490644480

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.

998 : 1, 2, 499, 998

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

249 : 1, 3, 83, 249

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,312,249,840,828, is 1.

Now, the common factors can be found like this.

998:2x 499

312:2x 2x 2x 3x 13

249:3x 83

840:2x 2x 2x 3x 5x 7

828:2x 2x 3x 3x 23

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 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 53925490644480/(1x1728)

LCM = 53925490644480/1728

LCM = 31206881160

Thus, we can understand that the LCM of 998,312,249,840,828 is 31206881160.

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

• LCM of 851, 140, 336, 137, 618
• LCM of 445, 410, 653, 463, 507
• LCM of 186, 493, 396, 206, 991
• LCM of 342, 481, 233, 407, 164
• LCM of 441, 386, 359, 535, 599

1. What is the LCM of 998, 312, 249, 840, 828?

Answer: LCM of 998, 312, 249, 840, 828 is 31206881160.

2. How to calculate the LCM of 998, 312, 249, 840, 828?

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 998, 312, 249, 840, 828.

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}.