Given numbers are 642,552,412,756,330

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

The LCM of 642,552,412,756,330 is 21079646280.

Find LCM of 642,552,412,756,330 with Prime Factorization

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

2 x 2 x 3 x 107 x 46 x 103 x 63 x 55 = 21079646280

Therefore, the lowest common multiple of 642,552,412,756,330 is 21079646280.

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.

642 x 552 x 412 x 756 x 330 = 36425628771840

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.

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

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

412 : 1, 2, 4, 103, 206, 412

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,552,412,756,330, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

552:2x 2x 2x 3x 23

412:2x 2x 103

756:2x 2x 3x 3x 3x 7

330:2x 3x 5x 11

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 = 36425628771840/(2x864)

LCM = 36425628771840/1728

LCM = 21079646280

Thus, we can understand that the LCM of 642,552,412,756,330 is 21079646280.

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

• LCM of 932, 395, 405, 341, 768
• LCM of 112, 935, 400, 387, 294
• LCM of 126, 154, 754, 175, 916
• LCM of 373, 609, 865, 863, 792
• LCM of 906, 789, 653, 901, 729

1. What is the LCM of 642, 552, 412, 756, 330?

Answer: LCM of 642, 552, 412, 756, 330 is 21079646280.

2. How to calculate the LCM of 642, 552, 412, 756, 330?

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 642, 552, 412, 756, 330.

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}.