Given numbers are 264,536,990,408

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

The LCM of 264,536,990,408 is 4510440.

Find LCM of 264,536,990,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 1 x 67 x 15 x 17 = 4510440

Therefore, the lowest common multiple of 264,536,990,408 is 4510440.

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.

264 x 536 x 990 x 408 = 57156295680

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

536 : 1, 2, 4, 8, 67, 134, 268, 536

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,536,990,408, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

536:2x 2x 2x 67

990:2x 3x 3x 5x 11

408:2x 2x 2x 3x 17

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 11 = 6336

Therefore, the value for common factors is 6336.

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 = 57156295680/(2x6336)

LCM = 57156295680/12672

LCM = 4510440

Thus, we can understand that the LCM of 264,536,990,408 is 4510440.

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

• LCM of 610, 320, 291, 647
• LCM of 677, 583, 495, 380
• LCM of 841, 833, 367, 181
• LCM of 462, 494, 442, 719
• LCM of 523, 386, 678, 211

1. What is the LCM of 264, 536, 990, 408?

Answer: LCM of 264, 536, 990, 408 is 4510440.

2. How to calculate the LCM of 264, 536, 990, 408?

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 264, 536, 990, 408.

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}.