Given numbers are 206,169,260,692

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

The LCM of 206,169,260,692 is 60228220.

Find LCM of 206,169,260,692 with Prime Factorization

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

2 x 2 x 13 x 103 x 13 x 5 x 173 = 60228220

Therefore, the lowest common multiple of 206,169,260,692 is 60228220.

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 169 x 260 x 692 = 6263734880

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

169 : 1, 13, 169

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,169,260,692, is 1.

Now, the common factors can be found like this.

206:2x 103

169:13x 13

260:2x 2x 5x 13

692:2x 2x 173

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 6263734880/(1x104)

LCM = 6263734880/104

LCM = 60228220

Thus, we can understand that the LCM of 206,169,260,692 is 60228220.

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

• LCM of 267, 547, 713, 108
• LCM of 421, 260, 480, 109
• LCM of 209, 231, 835, 783
• LCM of 237, 819, 284, 268
• LCM of 477, 818, 515, 708

1. What is the LCM of 206, 169, 260, 692?

Answer: LCM of 206, 169, 260, 692 is 60228220.

2. How to calculate the LCM of 206, 169, 260, 692?

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, 169, 260, 692.

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}.