Given numbers are 485,405,318,428,420

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

The LCM of 485,405,318,428,420 is 6237986580.

Find LCM of 485,405,318,428,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 97 x 27 x 53 x 107 x 7 = 6237986580

Therefore, the lowest common multiple of 485,405,318,428,420 is 6237986580.

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.

485 x 405 x 318 x 428 x 420 = 11228375844000

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.

485 : 1, 5, 97, 485

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

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

428 : 1, 2, 4, 107, 214, 428

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,405,318,428,420, is 1.

Now, the common factors can be found like this.

485:5x 97

405:3x 3x 3x 3x 5

318:2x 3x 53

428:2x 2x 107

420:2x 2x 3x 5x 7

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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 11228375844000/(1x1800)

LCM = 11228375844000/1800

LCM = 6237986580

Thus, we can understand that the LCM of 485,405,318,428,420 is 6237986580.

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

• LCM of 351, 338, 415, 422, 168
• LCM of 256, 629, 703, 676, 594
• LCM of 736, 262, 927, 403, 429
• LCM of 799, 205, 949, 168, 425
• LCM of 568, 144, 799, 399, 349

1. What is the LCM of 485, 405, 318, 428, 420?

Answer: LCM of 485, 405, 318, 428, 420 is 6237986580.

2. How to calculate the LCM of 485, 405, 318, 428, 420?

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 485, 405, 318, 428, 420.

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}.