Given numbers are 214,642,432,149

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

The LCM of 214,642,432,149 is 6887376.

Find LCM of 214,642,432,149 with Prime Factorization

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

2 x 3 x 107 x 1 x 1 x 72 x 149 = 6887376

Therefore, the lowest common multiple of 214,642,432,149 is 6887376.

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.

214 x 642 x 432 x 149 = 8843390784

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.

214 : 1, 2, 107, 214

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,642,432,149, is 1.

Now, the common factors can be found like this.

214:2x 107

642:2x 3x 107

432:2x 2x 2x 2x 3x 3x 3

149:149

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 3x 107 = 1284

Therefore, the value for common factors is 1284.

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 = 8843390784/(1x1284)

LCM = 8843390784/1284

LCM = 6887376

Thus, we can understand that the LCM of 214,642,432,149 is 6887376.

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

• LCM of 494, 547, 948, 413
• LCM of 136, 182, 330, 459
• LCM of 684, 428, 688, 145
• LCM of 195, 339, 806, 950
• LCM of 486, 209, 373, 686

1. What is the LCM of 214, 642, 432, 149?

Answer: LCM of 214, 642, 432, 149 is 6887376.

2. How to calculate the LCM of 214, 642, 432, 149?

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 214, 642, 432, 149.

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}.