Given numbers are 213,552,564,996,642

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

The LCM of 213,552,564,996,642 is 16359015144.

Find LCM of 213,552,564,996,642 with Prime Factorization

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

2 x 2 x 3 x 71 x 46 x 47 x 83 x 107 = 16359015144

Therefore, the lowest common multiple of 213,552,564,996,642 is 16359015144.

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.

213 x 552 x 564 x 996 x 642 = 42402567253248

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.

213 : 1, 3, 71, 213

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

642 : 1, 2, 3, 6, 107, 214, 321, 642

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,552,564,996,642, is 3.

Now, the common factors can be found like this.

213:3x 71

552:2x 2x 2x 3x 23

564:2x 2x 3x 47

996:2x 2x 3x 83

642:2x 3x 107

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 42402567253248/(3x864)

LCM = 42402567253248/2592

LCM = 16359015144

Thus, we can understand that the LCM of 213,552,564,996,642 is 16359015144.

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

• LCM of 793, 286, 245, 312, 965
• LCM of 249, 906, 461, 774, 443
• LCM of 530, 747, 567, 317, 111
• LCM of 956, 647, 844, 940, 976
• LCM of 411, 292, 216, 409, 459

1. What is the LCM of 213, 552, 564, 996, 642?

Answer: LCM of 213, 552, 564, 996, 642 is 16359015144.

2. How to calculate the LCM of 213, 552, 564, 996, 642?

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 213, 552, 564, 996, 642.

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}.