Given numbers are 682,209,311,517

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

The LCM of 682,209,311,517 is 189407086.

Find LCM of 682,209,311,517 with Prime Factorization

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

11 x 62 x 19 x 311 x 47 = 189407086

Therefore, the lowest common multiple of 682,209,311,517 is 189407086.

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.

682 x 209 x 311 x 517 = 22918257406

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

209 : 1, 11, 19, 209

311 : 1, 311

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,209,311,517, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

209:11x 19

311:311

517:11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 22918257406/(1x121)

LCM = 22918257406/121

LCM = 189407086

Thus, we can understand that the LCM of 682,209,311,517 is 189407086.

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

• LCM of 951, 978, 707, 681
• LCM of 409, 818, 101, 835
• LCM of 129, 669, 722, 188
• LCM of 647, 314, 235, 427
• LCM of 307, 830, 607, 901

1. What is the LCM of 682, 209, 311, 517?

Answer: LCM of 682, 209, 311, 517 is 189407086.

2. How to calculate the LCM of 682, 209, 311, 517?

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 682, 209, 311, 517.

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}.