Given numbers are 368,369,493,281,186

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

The LCM of 368,369,493,281,186 is 583161867216.

Find LCM of 368,369,493,281,186 with Prime Factorization

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

2 x 3 x 184 x 123 x 493 x 281 x 31 = 583161867216

Therefore, the lowest common multiple of 368,369,493,281,186 is 583161867216.

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 369 x 493 x 281 x 186 = 3498971203296

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

369 : 1, 3, 9, 41, 123, 369

493 : 1, 17, 29, 493

281 : 1, 281

186 : 1, 2, 3, 6, 31, 62, 93, 186

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,369,493,281,186, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

369:3x 3x 41

493:17x 29

281:281

186:2x 3x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3498971203296/(1x6)

LCM = 3498971203296/6

LCM = 583161867216

Thus, we can understand that the LCM of 368,369,493,281,186 is 583161867216.

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

• LCM of 106, 929, 938, 663, 501
• LCM of 468, 626, 583, 228, 199
• LCM of 841, 123, 962, 321, 712
• LCM of 488, 177, 409, 810, 296
• LCM of 142, 758, 554, 898, 117

1. What is the LCM of 368, 369, 493, 281, 186?

Answer: LCM of 368, 369, 493, 281, 186 is 583161867216.

2. How to calculate the LCM of 368, 369, 493, 281, 186?

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, 369, 493, 281, 186.

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}.