Given numbers are 388,495,585,504,772

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

The LCM of 388,495,585,504,772 is 6746299560.

Find LCM of 388,495,585,504,772 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 97 x 11 x 13 x 14 x 193 = 6746299560

Therefore, the lowest common multiple of 388,495,585,504,772 is 6746299560.

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.

388 x 495 x 585 x 504 x 772 = 43716021148800

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.

388 : 1, 2, 4, 97, 194, 388

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,495,585,504,772, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

495:3x 3x 5x 11

585:3x 3x 5x 13

504:2x 2x 2x 3x 3x 7

772:2x 2x 193

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 2x 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 43716021148800/(1x6480)

LCM = 43716021148800/6480

LCM = 6746299560

Thus, we can understand that the LCM of 388,495,585,504,772 is 6746299560.

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

• LCM of 210, 299, 618, 941, 291
• LCM of 700, 153, 419, 859, 829
• LCM of 381, 245, 165, 846, 163
• LCM of 650, 393, 920, 379, 630
• LCM of 266, 535, 521, 828, 256

1. What is the LCM of 388, 495, 585, 504, 772?

Answer: LCM of 388, 495, 585, 504, 772 is 6746299560.

2. How to calculate the LCM of 388, 495, 585, 504, 772?

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 388, 495, 585, 504, 772.

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}.