Given numbers are 364,442,226,484,564

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

The LCM of 364,442,226,484,564 is 11929801884.

Find LCM of 364,442,226,484,564 with Prime Factorization

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

2 x 2 x 13 x 7 x 17 x 113 x 121 x 141 = 11929801884

Therefore, the lowest common multiple of 364,442,226,484,564 is 11929801884.

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 442 x 226 x 484 x 564 = 9925595167488

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

226 : 1, 2, 113, 226

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,442,226,484,564, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

442:2x 13x 17

226:2x 113

484:2x 2x 11x 11

564:2x 2x 3x 47

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 13 = 416

Therefore, the value for common factors is 416.

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 = 9925595167488/(2x416)

LCM = 9925595167488/832

LCM = 11929801884

Thus, we can understand that the LCM of 364,442,226,484,564 is 11929801884.

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

• LCM of 524, 333, 797, 614, 875
• LCM of 634, 218, 627, 182, 105
• LCM of 713, 524, 450, 895, 712
• LCM of 949, 758, 109, 874, 851
• LCM of 918, 143, 872, 240, 789

1. What is the LCM of 364, 442, 226, 484, 564?

Answer: LCM of 364, 442, 226, 484, 564 is 11929801884.

2. How to calculate the LCM of 364, 442, 226, 484, 564?

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, 442, 226, 484, 564.

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}.