Given numbers are 407,624,363,852

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

The LCM of 407,624,363,852 is 198349008.

Find LCM of 407,624,363,852 with Prime Factorization

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

2 x 2 x 3 x 11 x 37 x 52 x 11 x 71 = 198349008

Therefore, the lowest common multiple of 407,624,363,852 is 198349008.

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.

407 x 624 x 363 x 852 = 78546207168

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.

407 : 1, 11, 37, 407

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

363 : 1, 3, 11, 33, 121, 363

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,624,363,852, is 1.

Now, the common factors can be found like this.

407:11x 37

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

363:3x 11x 11

852:2x 2x 3x 71

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 11 = 396

Therefore, the value for common factors is 396.

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 = 78546207168/(1x396)

LCM = 78546207168/396

LCM = 198349008

Thus, we can understand that the LCM of 407,624,363,852 is 198349008.

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

• LCM of 411, 502, 691, 523
• LCM of 444, 408, 809, 527
• LCM of 297, 665, 618, 494
• LCM of 848, 265, 714, 323
• LCM of 944, 397, 389, 965

1. What is the LCM of 407, 624, 363, 852?

Answer: LCM of 407, 624, 363, 852 is 198349008.

2. How to calculate the LCM of 407, 624, 363, 852?

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 407, 624, 363, 852.

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}.