Given numbers are 312,396,433,303,408

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

The LCM of 312,396,433,303,408 is 7654674456.

Find LCM of 312,396,433,303,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 33 x 433 x 101 x 17 = 7654674456

Therefore, the lowest common multiple of 312,396,433,303,408 is 7654674456.

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.

312 x 396 x 433 x 303 x 408 = 6613638729984

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.

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

433 : 1, 433

303 : 1, 3, 101, 303

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,396,433,303,408, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

396:2x 2x 3x 3x 11

433:433

303:3x 101

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 6613638729984/(1x864)

LCM = 6613638729984/864

LCM = 7654674456

Thus, we can understand that the LCM of 312,396,433,303,408 is 7654674456.

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

• LCM of 543, 721, 468, 274, 681
• LCM of 203, 282, 354, 374, 590
• LCM of 990, 930, 346, 380, 924
• LCM of 849, 858, 313, 461, 195
• LCM of 836, 104, 745, 123, 408

1. What is the LCM of 312, 396, 433, 303, 408?

Answer: LCM of 312, 396, 433, 303, 408 is 7654674456.

2. How to calculate the LCM of 312, 396, 433, 303, 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 312, 396, 433, 303, 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}.