Given numbers are 698,456,187,217

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

The LCM of 698,456,187,217 is 6457904376.

Find LCM of 698,456,187,217 with Prime Factorization

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

2 x 349 x 228 x 187 x 217 = 6457904376

Therefore, the lowest common multiple of 698,456,187,217 is 6457904376.

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.

698 x 456 x 187 x 217 = 12915808752

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.

698 : 1, 2, 349, 698

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

187 : 1, 11, 17, 187

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,456,187,217, is 1.

Now, the common factors can be found like this.

698:2x 349

456:2x 2x 2x 3x 19

187:11x 17

217:7x 31

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

2 = 2

Therefore, the value for common factors is 2.

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 = 12915808752/(1x2)

LCM = 12915808752/2

LCM = 6457904376

Thus, we can understand that the LCM of 698,456,187,217 is 6457904376.

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

• LCM of 971, 156, 839, 828
• LCM of 165, 550, 752, 464
• LCM of 458, 404, 200, 460
• LCM of 761, 998, 996, 143
• LCM of 232, 875, 903, 265

1. What is the LCM of 698, 456, 187, 217?

Answer: LCM of 698, 456, 187, 217 is 6457904376.

2. How to calculate the LCM of 698, 456, 187, 217?

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 698, 456, 187, 217.

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}.