Given numbers are 268,409,206,547,680

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

The LCM of 268,409,206,547,680 is 1049860447640.

Find LCM of 268,409,206,547,680 with Prime Factorization

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

2 x 2 x 67 x 409 x 103 x 547 x 170 = 1049860447640

Therefore, the lowest common multiple of 268,409,206,547,680 is 1049860447640.

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.

268 x 409 x 206 x 547 x 680 = 8398883581120

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.

268 : 1, 2, 4, 67, 134, 268

409 : 1, 409

206 : 1, 2, 103, 206

547 : 1, 547

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,409,206,547,680, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

409:409

206:2x 103

547:547

680:2x 2x 2x 5x 17

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 = 8398883581120/(1x8)

LCM = 8398883581120/8

LCM = 1049860447640

Thus, we can understand that the LCM of 268,409,206,547,680 is 1049860447640.

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

• LCM of 664, 245, 815, 167, 947
• LCM of 137, 832, 901, 131, 424
• LCM of 243, 302, 551, 672, 938
• LCM of 751, 849, 877, 443, 534
• LCM of 355, 897, 713, 651, 347

1. What is the LCM of 268, 409, 206, 547, 680?

Answer: LCM of 268, 409, 206, 547, 680 is 1049860447640.

2. How to calculate the LCM of 268, 409, 206, 547, 680?

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 268, 409, 206, 547, 680.

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}.