Given numbers are 387,408,336,861

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

The LCM of 387,408,336,861 is 30210768.

Find LCM of 387,408,336,861 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 129 x 17 x 2 x 41 = 30210768

Therefore, the lowest common multiple of 387,408,336,861 is 30210768.

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 408 x 336 x 861 = 45678681216

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

861 : 1, 3, 7, 21, 41, 123, 287, 861

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,408,336,861, is 3.

Now, the common factors can be found like this.

387:3x 3x 43

408:2x 2x 2x 3x 17

336:2x 2x 2x 2x 3x 7

861:3x 7x 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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 45678681216/(3x504)

LCM = 45678681216/1512

LCM = 30210768

Thus, we can understand that the LCM of 387,408,336,861 is 30210768.

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

• LCM of 628, 444, 563, 712
• LCM of 647, 622, 618, 627
• LCM of 617, 318, 964, 970
• LCM of 779, 987, 470, 404
• LCM of 718, 848, 806, 533

1. What is the LCM of 387, 408, 336, 861?

Answer: LCM of 387, 408, 336, 861 is 30210768.

2. How to calculate the LCM of 387, 408, 336, 861?

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, 408, 336, 861.

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}.