Given numbers are 537,407,321,794,624

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

The LCM of 537,407,321,794,624 is 1931106894288.

Find LCM of 537,407,321,794,624 with Prime Factorization

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

2 x 3 x 179 x 407 x 107 x 397 x 104 = 1931106894288

Therefore, the lowest common multiple of 537,407,321,794,624 is 1931106894288.

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.

537 x 407 x 321 x 794 x 624 = 34759924097184

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.

537 : 1, 3, 179, 537

407 : 1, 11, 37, 407

321 : 1, 3, 107, 321

794 : 1, 2, 397, 794

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,407,321,794,624, is 1.

Now, the common factors can be found like this.

537:3x 179

407:11x 37

321:3x 107

794:2x 397

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 34759924097184/(1x18)

LCM = 34759924097184/18

LCM = 1931106894288

Thus, we can understand that the LCM of 537,407,321,794,624 is 1931106894288.

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

• LCM of 386, 882, 925, 713, 591
• LCM of 405, 839, 898, 261, 887
• LCM of 658, 947, 410, 693, 990
• LCM of 879, 838, 426, 107, 428
• LCM of 972, 469, 400, 843, 204

1. What is the LCM of 537, 407, 321, 794, 624?

Answer: LCM of 537, 407, 321, 794, 624 is 1931106894288.

2. How to calculate the LCM of 537, 407, 321, 794, 624?

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 537, 407, 321, 794, 624.

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}.