Given numbers are 624,312,669,228

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

The LCM of 624,312,669,228 is 2643888.

Find LCM of 624,312,669,228 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 2 x 223 x 19 = 2643888

Therefore, the lowest common multiple of 624,312,669,228 is 2643888.

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 312 x 669 x 228 = 29696150016

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

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

669 : 1, 3, 223, 669

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,312,669,228, is 3.

Now, the common factors can be found like this.

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

312:2x 2x 2x 3x 13

669:3x 223

228:2x 2x 3x 19

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 = 29696150016/(3x3744)

LCM = 29696150016/11232

LCM = 2643888

Thus, we can understand that the LCM of 624,312,669,228 is 2643888.

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

• LCM of 348, 778, 344, 904
• LCM of 111, 516, 971, 656
• LCM of 151, 239, 296, 376
• LCM of 540, 442, 550, 733
• LCM of 247, 309, 945, 853

1. What is the LCM of 624, 312, 669, 228?

Answer: LCM of 624, 312, 669, 228 is 2643888.

2. How to calculate the LCM of 624, 312, 669, 228?

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, 312, 669, 228.

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}.