Given numbers are 592,192,924,324

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

The LCM of 592,192,924,324 is 14769216.

Find LCM of 592,192,924,324 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 37 x 4 x 77 x 27 = 14769216

Therefore, the lowest common multiple of 592,192,924,324 is 14769216.

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.

592 x 192 x 924 x 324 = 34028273664

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,192,924,324, is 4.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

192:2x 2x 2x 2x 2x 2x 3

924:2x 2x 3x 7x 11

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 34028273664/(4x576)

LCM = 34028273664/2304

LCM = 14769216

Thus, we can understand that the LCM of 592,192,924,324 is 14769216.

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

• LCM of 961, 864, 601, 137
• LCM of 195, 931, 273, 508
• LCM of 388, 428, 231, 235
• LCM of 944, 734, 133, 988
• LCM of 360, 755, 889, 553

1. What is the LCM of 592, 192, 924, 324?

Answer: LCM of 592, 192, 924, 324 is 14769216.

2. How to calculate the LCM of 592, 192, 924, 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 592, 192, 924, 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}.