Given numbers are 597,628,792,528,252

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

The LCM of 597,628,792,528,252 is 346422384.

Find LCM of 597,628,792,528,252 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 199 x 157 x 1 x 2 x 7 = 346422384

Therefore, the lowest common multiple of 597,628,792,528,252 is 346422384.

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.

597 x 628 x 792 x 528 x 252 = 39508780050432

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.

597 : 1, 3, 199, 597

628 : 1, 2, 4, 157, 314, 628

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,628,792,528,252, is 1.

Now, the common factors can be found like this.

597:3x 199

628:2x 2x 157

792:2x 2x 2x 3x 3x 11

528:2x 2x 2x 2x 3x 11

252:2x 2x 3x 3x 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 2x 2x 2x 2x 3x 3x 3x 3x 11 = 114048

Therefore, the value for common factors is 114048.

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 = 39508780050432/(1x114048)

LCM = 39508780050432/114048

LCM = 346422384

Thus, we can understand that the LCM of 597,628,792,528,252 is 346422384.

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

• LCM of 527, 266, 453, 475, 398
• LCM of 901, 237, 605, 891, 212
• LCM of 829, 875, 247, 613, 817
• LCM of 991, 520, 831, 317, 503
• LCM of 961, 982, 466, 425, 362

1. What is the LCM of 597, 628, 792, 528, 252?

Answer: LCM of 597, 628, 792, 528, 252 is 346422384.

2. How to calculate the LCM of 597, 628, 792, 528, 252?

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 597, 628, 792, 528, 252.

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}.