Given numbers are 324,504,612,528

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

The LCM of 324,504,612,528 is 1696464.

Find LCM of 324,504,612,528 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 9 x 7 x 17 x 22 = 1696464

Therefore, the lowest common multiple of 324,504,612,528 is 1696464.

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.

324 x 504 x 612 x 528 = 52766816256

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,504,612,528, is 12.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

504:2x 2x 2x 3x 3x 7

612:2x 2x 3x 3x 17

528:2x 2x 2x 2x 3x 11

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 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 52766816256/(12x2592)

LCM = 52766816256/31104

LCM = 1696464

Thus, we can understand that the LCM of 324,504,612,528 is 1696464.

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

• LCM of 609, 873, 327, 648
• LCM of 739, 396, 374, 984
• LCM of 865, 425, 127, 238
• LCM of 776, 212, 855, 775
• LCM of 982, 638, 570, 289

1. What is the LCM of 324, 504, 612, 528?

Answer: LCM of 324, 504, 612, 528 is 1696464.

2. How to calculate the LCM of 324, 504, 612, 528?

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 324, 504, 612, 528.

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}.