Given numbers are 412,270,706,173,314

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

The LCM of 412,270,706,173,314 is 533275271460.

Find LCM of 412,270,706,173,314 with Prime Factorization

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

2 x 206 x 135 x 353 x 173 x 157 = 533275271460

Therefore, the lowest common multiple of 412,270,706,173,314 is 533275271460.

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.

412 x 270 x 706 x 173 x 314 = 4266202171680

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.

412 : 1, 2, 4, 103, 206, 412

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

706 : 1, 2, 353, 706

173 : 1, 173

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,270,706,173,314, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

270:2x 3x 3x 3x 5

706:2x 353

173:173

314:2x 157

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 = 4266202171680/(1x8)

LCM = 4266202171680/8

LCM = 533275271460

Thus, we can understand that the LCM of 412,270,706,173,314 is 533275271460.

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

• LCM of 462, 570, 734, 101, 950
• LCM of 706, 998, 730, 151, 492
• LCM of 668, 265, 320, 819, 385
• LCM of 545, 708, 723, 693, 305
• LCM of 453, 533, 895, 197, 816

1. What is the LCM of 412, 270, 706, 173, 314?

Answer: LCM of 412, 270, 706, 173, 314 is 533275271460.

2. How to calculate the LCM of 412, 270, 706, 173, 314?

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 412, 270, 706, 173, 314.

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}.