Given numbers are 642,468,894,349,462

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

The LCM of 642,468,894,349,462 is 200508159852.

Find LCM of 642,468,894,349,462 with Prime Factorization

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

2 x 3 x 107 x 78 x 149 x 349 x 77 = 200508159852

Therefore, the lowest common multiple of 642,468,894,349,462 is 200508159852.

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 468 x 894 x 349 x 462 = 43309762528032

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

894 : 1, 2, 3, 6, 149, 298, 447, 894

349 : 1, 349

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,468,894,349,462, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

468:2x 2x 3x 3x 13

894:2x 3x 149

349:349

462:2x 3x 7x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 43309762528032/(1x216)

LCM = 43309762528032/216

LCM = 200508159852

Thus, we can understand that the LCM of 642,468,894,349,462 is 200508159852.

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

• LCM of 206, 704, 540, 155, 278
• LCM of 858, 634, 383, 573, 716
• LCM of 887, 263, 706, 220, 604
• LCM of 292, 201, 367, 907, 364
• LCM of 421, 394, 497, 337, 105

1. What is the LCM of 642, 468, 894, 349, 462?

Answer: LCM of 642, 468, 894, 349, 462 is 200508159852.

2. How to calculate the LCM of 642, 468, 894, 349, 462?

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, 468, 894, 349, 462.

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}.