Given numbers are 206,217,270,697,312

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

The LCM of 206,217,270,697,312 is 218724203880.

Find LCM of 206,217,270,697,312 with Prime Factorization

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

2 x 3 x 103 x 217 x 45 x 697 x 52 = 218724203880

Therefore, the lowest common multiple of 206,217,270,697,312 is 218724203880.

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.

206 x 217 x 270 x 697 x 312 = 2624690446560

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.

206 : 1, 2, 103, 206

217 : 1, 7, 31, 217

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

697 : 1, 17, 41, 697

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,217,270,697,312, is 1.

Now, the common factors can be found like this.

206:2x 103

217:7x 31

270:2x 3x 3x 3x 5

697:17x 41

312:2x 2x 2x 3x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 2624690446560/(1x12)

LCM = 2624690446560/12

LCM = 218724203880

Thus, we can understand that the LCM of 206,217,270,697,312 is 218724203880.

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

• LCM of 988, 944, 226, 868, 898
• LCM of 711, 733, 410, 348, 848
• LCM of 390, 911, 242, 570, 280
• LCM of 401, 848, 680, 924, 136
• LCM of 963, 461, 896, 269, 559

1. What is the LCM of 206, 217, 270, 697, 312?

Answer: LCM of 206, 217, 270, 697, 312 is 218724203880.

2. How to calculate the LCM of 206, 217, 270, 697, 312?

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 206, 217, 270, 697, 312.

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}.