Given numbers are 924,386,440,737,324

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

The LCM of 924,386,440,737,324 is 3226025880.

Find LCM of 924,386,440,737,324 with Prime Factorization

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

2 x 2 x 3 x 11 x 7 x 193 x 10 x 67 x 27 = 3226025880

Therefore, the lowest common multiple of 924,386,440,737,324 is 3226025880.

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.

924 x 386 x 440 x 737 x 324 = 37473516622080

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

386 : 1, 2, 193, 386

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

737 : 1, 11, 67, 737

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,386,440,737,324, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

386:2x 193

440:2x 2x 2x 5x 11

737:11x 67

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

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 11x 11 = 11616

Therefore, the value for common factors is 11616.

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 = 37473516622080/(1x11616)

LCM = 37473516622080/11616

LCM = 3226025880

Thus, we can understand that the LCM of 924,386,440,737,324 is 3226025880.

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

• LCM of 945, 466, 864, 749, 603
• LCM of 464, 379, 969, 384, 892
• LCM of 322, 452, 769, 715, 877
• LCM of 935, 102, 835, 903, 329
• LCM of 770, 481, 465, 988, 289

1. What is the LCM of 924, 386, 440, 737, 324?

Answer: LCM of 924, 386, 440, 737, 324 is 3226025880.

2. How to calculate the LCM of 924, 386, 440, 737, 324?

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 924, 386, 440, 737, 324.

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}.