Given numbers are 387,215,213,689

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

The LCM of 387,215,213,689 is 94658265.

Find LCM of 387,215,213,689 with Prime Factorization

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

3 x 43 x 3 x 5 x 71 x 689 = 94658265

Therefore, the lowest common multiple of 387,215,213,689 is 94658265.

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.

387 x 215 x 213 x 689 = 12210916185

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.

387 : 1, 3, 9, 43, 129, 387

215 : 1, 5, 43, 215

213 : 1, 3, 71, 213

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,215,213,689, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

215:5x 43

213:3x 71

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 43 = 129

Therefore, the value for common factors is 129.

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 = 12210916185/(1x129)

LCM = 12210916185/129

LCM = 94658265

Thus, we can understand that the LCM of 387,215,213,689 is 94658265.

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

• LCM of 653, 972, 686, 533
• LCM of 219, 184, 531, 437
• LCM of 478, 693, 140, 614
• LCM of 289, 972, 986, 850
• LCM of 367, 518, 803, 298

1. What is the LCM of 387, 215, 213, 689?

Answer: LCM of 387, 215, 213, 689 is 94658265.

2. How to calculate the LCM of 387, 215, 213, 689?

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 387, 215, 213, 689.

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}.