Given numbers are 807,288,296,812

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

The LCM of 807,288,296,812 is 581892192.

Find LCM of 807,288,296,812 with Prime Factorization

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

2 x 2 x 2 x 3 x 269 x 12 x 37 x 203 = 581892192

Therefore, the lowest common multiple of 807,288,296,812 is 581892192.

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.

807 x 288 x 296 x 812 = 55861650432

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.

807 : 1, 3, 269, 807

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

296 : 1, 2, 4, 8, 37, 74, 148, 296

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,288,296,812, is 1.

Now, the common factors can be found like this.

807:3x 269

288:2x 2x 2x 2x 2x 3x 3

296:2x 2x 2x 37

812:2x 2x 7x 29

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 3 = 96

Therefore, the value for common factors is 96.

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 = 55861650432/(1x96)

LCM = 55861650432/96

LCM = 581892192

Thus, we can understand that the LCM of 807,288,296,812 is 581892192.

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

• LCM of 369, 554, 908, 111
• LCM of 178, 335, 882, 208
• LCM of 112, 420, 356, 895
• LCM of 856, 924, 600, 308
• LCM of 775, 328, 491, 266

1. What is the LCM of 807, 288, 296, 812?

Answer: LCM of 807, 288, 296, 812 is 581892192.

2. How to calculate the LCM of 807, 288, 296, 812?

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 807, 288, 296, 812.

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}.