Given numbers are 368,456,394,624

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

The LCM of 368,456,394,624 is 53719536.

Find LCM of 368,456,394,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 19 x 197 x 13 = 53719536

Therefore, the lowest common multiple of 368,456,394,624 is 53719536.

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.

368 x 456 x 394 x 624 = 41256603648

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

394 : 1, 2, 197, 394

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,456,394,624, is 2.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

456:2x 2x 2x 3x 19

394:2x 197

624:2x 2x 2x 2x 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 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 41256603648/(2x384)

LCM = 41256603648/768

LCM = 53719536

Thus, we can understand that the LCM of 368,456,394,624 is 53719536.

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

• LCM of 208, 365, 702, 717
• LCM of 590, 827, 635, 867
• LCM of 445, 925, 598, 308
• LCM of 318, 213, 678, 453
• LCM of 245, 455, 298, 377

1. What is the LCM of 368, 456, 394, 624?

Answer: LCM of 368, 456, 394, 624 is 53719536.

2. How to calculate the LCM of 368, 456, 394, 624?

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 368, 456, 394, 624.

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}.