Given numbers are 924,408,920,456

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

The LCM of 924,408,920,456 is 68643960.

Find LCM of 924,408,920,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 77 x 17 x 115 x 19 = 68643960

Therefore, the lowest common multiple of 924,408,920,456 is 68643960.

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 408 x 920 x 456 = 158155683840

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,408,920,456, is 4.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

408:2x 2x 2x 3x 17

920:2x 2x 2x 5x 23

456:2x 2x 2x 3x 19

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 3 = 576

Therefore, the value for common factors is 576.

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 = 158155683840/(4x576)

LCM = 158155683840/2304

LCM = 68643960

Thus, we can understand that the LCM of 924,408,920,456 is 68643960.

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

• LCM of 346, 779, 819, 122
• LCM of 744, 622, 287, 323
• LCM of 284, 412, 600, 146
• LCM of 185, 733, 135, 277
• LCM of 629, 147, 314, 584

1. What is the LCM of 924, 408, 920, 456?

Answer: LCM of 924, 408, 920, 456 is 68643960.

2. How to calculate the LCM of 924, 408, 920, 456?

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, 408, 920, 456.

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}.