Given numbers are 405,408,420,318,905

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

The LCM of 405,408,420,318,905 is 3698677080.

Find LCM of 405,408,420,318,905 with Prime Factorization

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

2 x 2 x 3 x 5 x 27 x 34 x 7 x 53 x 181 = 3698677080

Therefore, the lowest common multiple of 405,408,420,318,905 is 3698677080.

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.

405 x 408 x 420 x 318 x 905 = 19972856232000

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

318 : 1, 2, 3, 6, 53, 106, 159, 318

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,408,420,318,905, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

408:2x 2x 2x 3x 17

420:2x 2x 3x 5x 7

318:2x 3x 53

905:5x 181

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 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 19972856232000/(1x5400)

LCM = 19972856232000/5400

LCM = 3698677080

Thus, we can understand that the LCM of 405,408,420,318,905 is 3698677080.

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

• LCM of 521, 517, 795, 265, 311
• LCM of 522, 944, 338, 748, 758
• LCM of 863, 965, 827, 541, 954
• LCM of 826, 290, 645, 200, 154
• LCM of 654, 170, 463, 803, 411

1. What is the LCM of 405, 408, 420, 318, 905?

Answer: LCM of 405, 408, 420, 318, 905 is 3698677080.

2. How to calculate the LCM of 405, 408, 420, 318, 905?

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 405, 408, 420, 318, 905.

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}.