Given numbers are 288,312,282,966

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

The LCM of 288,312,282,966 is 28330848.

Find LCM of 288,312,282,966 with Prime Factorization

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

2 x 2 x 2 x 3 x 12 x 13 x 47 x 161 = 28330848

Therefore, the lowest common multiple of 288,312,282,966 is 28330848.

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.

288 x 312 x 282 x 966 = 24477852672

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.

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

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,312,282,966, is 6.

Now, the common factors can be found like this.

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

312:2x 2x 2x 3x 13

282:2x 3x 47

966:2x 3x 7x 23

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 3 = 144

Therefore, the value for common factors is 144.

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 = 24477852672/(6x144)

LCM = 24477852672/864

LCM = 28330848

Thus, we can understand that the LCM of 288,312,282,966 is 28330848.

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

• LCM of 185, 631, 462, 362
• LCM of 257, 726, 898, 786
• LCM of 254, 322, 726, 406
• LCM of 592, 556, 870, 131
• LCM of 309, 866, 759, 354

1. What is the LCM of 288, 312, 282, 966?

Answer: LCM of 288, 312, 282, 966 is 28330848.

2. How to calculate the LCM of 288, 312, 282, 966?

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 288, 312, 282, 966.

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}.