Given numbers are 998,624,689,676

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

The LCM of 998,624,689,676 is 214538064.

Find LCM of 998,624,689,676 with Prime Factorization

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

2 x 2 x 13 x 499 x 12 x 53 x 13 = 214538064

Therefore, the lowest common multiple of 998,624,689,676 is 214538064.

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 624 x 689 x 676 = 290055462528

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

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

689 : 1, 13, 53, 689

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,624,689,676, is 1.

Now, the common factors can be found like this.

998:2x 499

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

689:13x 53

676:2x 2x 13x 13

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 290055462528/(1x1352)

LCM = 290055462528/1352

LCM = 214538064

Thus, we can understand that the LCM of 998,624,689,676 is 214538064.

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

• LCM of 932, 158, 648, 425
• LCM of 311, 510, 451, 197
• LCM of 531, 365, 837, 296
• LCM of 834, 740, 406, 305
• LCM of 433, 905, 744, 314

1. What is the LCM of 998, 624, 689, 676?

Answer: LCM of 998, 624, 689, 676 is 214538064.

2. How to calculate the LCM of 998, 624, 689, 676?

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, 624, 689, 676.

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}.