Given numbers are 214,872,723,328

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

The LCM of 214,872,723,328 is 2765810472.

Find LCM of 214,872,723,328 with Prime Factorization

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

2 x 2 x 2 x 107 x 109 x 723 x 41 = 2765810472

Therefore, the lowest common multiple of 214,872,723,328 is 2765810472.

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 872 x 723 x 328 = 44252967552

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

723 : 1, 3, 241, 723

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,872,723,328, is 1.

Now, the common factors can be found like this.

214:2x 107

872:2x 2x 2x 109

723:3x 241

328:2x 2x 2x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 44252967552/(1x16)

LCM = 44252967552/16

LCM = 2765810472

Thus, we can understand that the LCM of 214,872,723,328 is 2765810472.

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

• LCM of 428, 933, 721, 760
• LCM of 514, 367, 970, 725
• LCM of 709, 950, 247, 189
• LCM of 403, 640, 954, 307
• LCM of 658, 784, 386, 284

1. What is the LCM of 214, 872, 723, 328?

Answer: LCM of 214, 872, 723, 328 is 2765810472.

2. How to calculate the LCM of 214, 872, 723, 328?

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, 872, 723, 328.

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}.