Given numbers are 624,636,306,204

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

The LCM of 624,636,306,204 is 1686672.

Find LCM of 624,636,306,204 with Prime Factorization

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

2 x 2 x 3 x 17 x 52 x 53 x 1 x 3 = 1686672

Therefore, the lowest common multiple of 624,636,306,204 is 1686672.

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.

624 x 636 x 306 x 204 = 24773838336

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.

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

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,636,306,204, is 6.

Now, the common factors can be found like this.

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

636:2x 2x 3x 53

306:2x 3x 3x 17

204:2x 2x 3x 17

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 24773838336/(6x2448)

LCM = 24773838336/14688

LCM = 1686672

Thus, we can understand that the LCM of 624,636,306,204 is 1686672.

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

• LCM of 162, 551, 413, 186
• LCM of 893, 198, 707, 426
• LCM of 848, 887, 131, 926
• LCM of 506, 795, 504, 801
• LCM of 525, 697, 253, 630

1. What is the LCM of 624, 636, 306, 204?

Answer: LCM of 624, 636, 306, 204 is 1686672.

2. How to calculate the LCM of 624, 636, 306, 204?

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 624, 636, 306, 204.

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}.