Given numbers are 288,372,119,624,816

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

The LCM of 288,372,119,624,816 is 13811616.

Find LCM of 288,372,119,624,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 6 x 31 x 7 x 13 x 1 = 13811616

Therefore, the lowest common multiple of 288,372,119,624,816 is 13811616.

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 372 x 119 x 624 x 816 = 6491680505856

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

119 : 1, 7, 17, 119

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,372,119,624,816, is 1.

Now, the common factors can be found like this.

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

372:2x 2x 3x 31

119:7x 17

624:2x 2x 2x 2x 3x 13

816:2x 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 2x 2x 2x 2x 3x 3x 3x 17 = 470016

Therefore, the value for common factors is 470016.

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 = 6491680505856/(1x470016)

LCM = 6491680505856/470016

LCM = 13811616

Thus, we can understand that the LCM of 288,372,119,624,816 is 13811616.

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

• LCM of 219, 594, 795, 368, 534
• LCM of 685, 141, 440, 747, 291
• LCM of 909, 666, 419, 630, 477
• LCM of 538, 915, 447, 384, 415
• LCM of 787, 935, 449, 202, 484

1. What is the LCM of 288, 372, 119, 624, 816?

Answer: LCM of 288, 372, 119, 624, 816 is 13811616.

2. How to calculate the LCM of 288, 372, 119, 624, 816?

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, 372, 119, 624, 816.

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}.