Given numbers are 345,405,756,638,590

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

The LCM of 345,405,756,638,590 is 4908893220.

Find LCM of 345,405,756,638,590 with Prime Factorization

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

2 x 3 x 3 x 3 x 5 x 23 x 3 x 14 x 319 x 59 = 4908893220

Therefore, the lowest common multiple of 345,405,756,638,590 is 4908893220.

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.

345 x 405 x 756 x 638 x 590 = 39762035082000

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

638 : 1, 2, 11, 22, 29, 58, 319, 638

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,405,756,638,590, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

405:3x 3x 3x 3x 5

756:2x 2x 3x 3x 3x 7

638:2x 11x 29

590:2x 5x 59

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 3x 3x 3x 3x 5x 5 = 8100

Therefore, the value for common factors is 8100.

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 = 39762035082000/(1x8100)

LCM = 39762035082000/8100

LCM = 4908893220

Thus, we can understand that the LCM of 345,405,756,638,590 is 4908893220.

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

• LCM of 605, 948, 346, 640, 819
• LCM of 322, 909, 916, 428, 997
• LCM of 612, 999, 733, 945, 338
• LCM of 897, 130, 491, 834, 434
• LCM of 905, 256, 181, 604, 614

1. What is the LCM of 345, 405, 756, 638, 590?

Answer: LCM of 345, 405, 756, 638, 590 is 4908893220.

2. How to calculate the LCM of 345, 405, 756, 638, 590?

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 345, 405, 756, 638, 590.

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}.