Given numbers are 368,310,372,361,792

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

The LCM of 368,310,372,361,792 is 2038552560.

Find LCM of 368,310,372,361,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 46 x 5 x 1 x 361 x 33 = 2038552560

Therefore, the lowest common multiple of 368,310,372,361,792 is 2038552560.

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.

368 x 310 x 372 x 361 x 792 = 12133464837120

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

310 : 1, 2, 5, 10, 31, 62, 155, 310

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

361 : 1, 19, 361

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,310,372,361,792, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

310:2x 5x 31

372:2x 2x 3x 31

361:19x 19

792:2x 2x 2x 3x 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 2x 3x 31 = 5952

Therefore, the value for common factors is 5952.

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 = 12133464837120/(1x5952)

LCM = 12133464837120/5952

LCM = 2038552560

Thus, we can understand that the LCM of 368,310,372,361,792 is 2038552560.

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

• LCM of 993, 103, 232, 871, 554
• LCM of 815, 186, 736, 152, 317
• LCM of 493, 164, 534, 571, 725
• LCM of 145, 908, 773, 388, 759
• LCM of 300, 525, 873, 996, 798

1. What is the LCM of 368, 310, 372, 361, 792?

Answer: LCM of 368, 310, 372, 361, 792 is 2038552560.

2. How to calculate the LCM of 368, 310, 372, 361, 792?

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 368, 310, 372, 361, 792.

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}.