Given numbers are 368,214,194,289,834

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

The LCM of 368,214,194,289,834 is 460296029136.

Find LCM of 368,214,194,289,834 with Prime Factorization

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

2 x 184 x 107 x 97 x 289 x 417 = 460296029136

Therefore, the lowest common multiple of 368,214,194,289,834 is 460296029136.

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 214 x 194 x 289 x 834 = 3682368233088

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

214 : 1, 2, 107, 214

194 : 1, 2, 97, 194

289 : 1, 17, 289

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,214,194,289,834, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

214:2x 107

194:2x 97

289:17x 17

834:2x 3x 139

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3682368233088/(1x8)

LCM = 3682368233088/8

LCM = 460296029136

Thus, we can understand that the LCM of 368,214,194,289,834 is 460296029136.

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

• LCM of 850, 861, 601, 107, 771
• LCM of 902, 462, 915, 341, 330
• LCM of 393, 461, 765, 236, 362
• LCM of 771, 980, 982, 112, 166
• LCM of 381, 723, 146, 933, 788

1. What is the LCM of 368, 214, 194, 289, 834?

Answer: LCM of 368, 214, 194, 289, 834 is 460296029136.

2. How to calculate the LCM of 368, 214, 194, 289, 834?

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, 214, 194, 289, 834.

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}.