Given numbers are 924,579,840,324

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

The LCM of 924,579,840,324 is 48149640.

Find LCM of 924,579,840,324 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 193 x 10 x 27 = 48149640

Therefore, the lowest common multiple of 924,579,840,324 is 48149640.

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.

924 x 579 x 840 x 324 = 145604511360

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

579 : 1, 3, 193, 579

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

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,579,840,324, is 3.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

579:3x 193

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

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

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 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 145604511360/(3x1008)

LCM = 145604511360/3024

LCM = 48149640

Thus, we can understand that the LCM of 924,579,840,324 is 48149640.

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

• LCM of 506, 149, 398, 643
• LCM of 561, 553, 976, 339
• LCM of 672, 314, 213, 543
• LCM of 519, 151, 255, 806
• LCM of 875, 847, 901, 345

1. What is the LCM of 924, 579, 840, 324?

Answer: LCM of 924, 579, 840, 324 is 48149640.

2. How to calculate the LCM of 924, 579, 840, 324?

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 924, 579, 840, 324.

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}.