Given numbers are 364,678,456,252,644

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

The LCM of 364,678,456,252,644 is 323544312.

Find LCM of 364,678,456,252,644 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 113 x 38 x 3 x 23 = 323544312

Therefore, the lowest common multiple of 364,678,456,252,644 is 323544312.

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 678 x 456 x 252 x 644 = 18263429323776

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,678,456,252,644, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

678:2x 3x 113

456:2x 2x 2x 3x 19

252:2x 2x 3x 3x 7

644:2x 2x 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 2x 2x 3x 3x 7x 7 = 28224

Therefore, the value for common factors is 28224.

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 = 18263429323776/(2x28224)

LCM = 18263429323776/56448

LCM = 323544312

Thus, we can understand that the LCM of 364,678,456,252,644 is 323544312.

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

• LCM of 921, 108, 537, 996, 164
• LCM of 266, 144, 699, 495, 380
• LCM of 957, 401, 763, 959, 835
• LCM of 680, 507, 612, 594, 327
• LCM of 509, 538, 758, 328, 801

1. What is the LCM of 364, 678, 456, 252, 644?

Answer: LCM of 364, 678, 456, 252, 644 is 323544312.

2. How to calculate the LCM of 364, 678, 456, 252, 644?

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, 678, 456, 252, 644.

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}.