Given numbers are 414,156,488,624

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

The LCM of 414,156,488,624 is 2626416.

Find LCM of 414,156,488,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 69 x 1 x 61 x 2 = 2626416

Therefore, the lowest common multiple of 414,156,488,624 is 2626416.

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.

414 x 156 x 488 x 624 = 19666603008

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,156,488,624, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

156:2x 2x 3x 13

488:2x 2x 2x 61

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 2x 2x 2x 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 19666603008/(2x3744)

LCM = 19666603008/7488

LCM = 2626416

Thus, we can understand that the LCM of 414,156,488,624 is 2626416.

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

• LCM of 258, 659, 684, 647
• LCM of 396, 730, 840, 389
• LCM of 322, 103, 764, 174
• LCM of 223, 535, 959, 455
• LCM of 316, 560, 957, 234

1. What is the LCM of 414, 156, 488, 624?

Answer: LCM of 414, 156, 488, 624 is 2626416.

2. How to calculate the LCM of 414, 156, 488, 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 414, 156, 488, 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}.