Given numbers are 624,494,324,676

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

The LCM of 624,494,324,676 is 4161456.

Find LCM of 624,494,324,676 with Prime Factorization

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

2 x 2 x 3 x 13 x 4 x 19 x 27 x 13 = 4161456

Therefore, the lowest common multiple of 624,494,324,676 is 4161456.

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.

624 x 494 x 324 x 676 = 67515462144

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.

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,494,324,676, is 2.

Now, the common factors can be found like this.

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

494:2x 13x 19

324:2x 2x 3x 3x 3x 3

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 2x 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 67515462144/(2x8112)

LCM = 67515462144/16224

LCM = 4161456

Thus, we can understand that the LCM of 624,494,324,676 is 4161456.

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

• LCM of 111, 171, 546, 255
• LCM of 537, 380, 520, 588
• LCM of 914, 462, 162, 756
• LCM of 154, 163, 351, 792
• LCM of 457, 743, 418, 365

1. What is the LCM of 624, 494, 324, 676?

Answer: LCM of 624, 494, 324, 676 is 4161456.

2. How to calculate the LCM of 624, 494, 324, 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 624, 494, 324, 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}.