Given numbers are 364,176,814,936

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

The LCM of 364,176,814,936 is 5333328.

Find LCM of 364,176,814,936 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 7 x 2 x 37 x 9 = 5333328

Therefore, the lowest common multiple of 364,176,814,936 is 5333328.

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.

364 x 176 x 814 x 936 = 48810617856

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

814 : 1, 2, 11, 22, 37, 74, 407, 814

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,176,814,936, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

176:2x 2x 2x 2x 11

814:2x 11x 37

936:2x 2x 2x 3x 3x 13

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 11x 13 = 4576

Therefore, the value for common factors is 4576.

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 = 48810617856/(2x4576)

LCM = 48810617856/9152

LCM = 5333328

Thus, we can understand that the LCM of 364,176,814,936 is 5333328.

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

• LCM of 119, 218, 100, 959
• LCM of 766, 315, 850, 339
• LCM of 409, 662, 730, 262
• LCM of 169, 870, 960, 446
• LCM of 304, 943, 644, 724

1. What is the LCM of 364, 176, 814, 936?

Answer: LCM of 364, 176, 814, 936 is 5333328.

2. How to calculate the LCM of 364, 176, 814, 936?

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 364, 176, 814, 936.

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}.