Given numbers are 514,541,901,624,396

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

The LCM of 514,541,901,624,396 is 2579607963504.

Find LCM of 514,541,901,624,396 with Prime Factorization

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

2 x 2 x 3 x 257 x 541 x 901 x 52 x 33 = 2579607963504

Therefore, the lowest common multiple of 514,541,901,624,396 is 2579607963504.

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.

514 x 541 x 901 x 624 x 396 = 61910591124096

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.

514 : 1, 2, 257, 514

541 : 1, 541

901 : 1, 17, 53, 901

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,541,901,624,396, is 1.

Now, the common factors can be found like this.

514:2x 257

541:541

901:17x 53

624:2x 2x 2x 2x 3x 13

396:2x 2x 3x 3x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 61910591124096/(1x24)

LCM = 61910591124096/24

LCM = 2579607963504

Thus, we can understand that the LCM of 514,541,901,624,396 is 2579607963504.

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

• LCM of 102, 318, 305, 445, 636
• LCM of 517, 637, 216, 848, 824
• LCM of 199, 643, 421, 213, 656
• LCM of 318, 630, 676, 954, 749
• LCM of 410, 581, 900, 355, 824

1. What is the LCM of 514, 541, 901, 624, 396?

Answer: LCM of 514, 541, 901, 624, 396 is 2579607963504.

2. How to calculate the LCM of 514, 541, 901, 624, 396?

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 514, 541, 901, 624, 396.

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}.