Given numbers are 368,219,302,171

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

The LCM of 368,219,302,171 is 693655344.

Find LCM of 368,219,302,171 with Prime Factorization

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

2 x 3 x 184 x 73 x 151 x 57 = 693655344

Therefore, the lowest common multiple of 368,219,302,171 is 693655344.

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 219 x 302 x 171 = 4161932064

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

219 : 1, 3, 73, 219

302 : 1, 2, 151, 302

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,219,302,171, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

219:3x 73

302:2x 151

171:3x 3x 19

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 = 4161932064/(1x6)

LCM = 4161932064/6

LCM = 693655344

Thus, we can understand that the LCM of 368,219,302,171 is 693655344.

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

• LCM of 962, 610, 432, 371
• LCM of 973, 723, 193, 315
• LCM of 821, 308, 957, 386
• LCM of 834, 427, 458, 159
• LCM of 538, 547, 964, 656

1. What is the LCM of 368, 219, 302, 171?

Answer: LCM of 368, 219, 302, 171 is 693655344.

2. How to calculate the LCM of 368, 219, 302, 171?

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, 219, 302, 171.

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}.