Given numbers are 692,198,458,488,475

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

The LCM of 692,198,458,488,475 is 909138839400.

Find LCM of 692,198,458,488,475 with Prime Factorization

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

2 x 2 x 173 x 99 x 229 x 122 x 475 = 909138839400

Therefore, the lowest common multiple of 692,198,458,488,475 is 909138839400.

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.

692 x 198 x 458 x 488 x 475 = 14546221430400

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.

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

458 : 1, 2, 229, 458

488 : 1, 2, 4, 8, 61, 122, 244, 488

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,198,458,488,475, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

198:2x 3x 3x 11

458:2x 229

488:2x 2x 2x 61

475:5x 5x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14546221430400/(1x16)

LCM = 14546221430400/16

LCM = 909138839400

Thus, we can understand that the LCM of 692,198,458,488,475 is 909138839400.

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

• LCM of 842, 860, 556, 813, 376
• LCM of 250, 304, 242, 281, 160
• LCM of 855, 435, 859, 144, 439
• LCM of 240, 417, 359, 664, 981
• LCM of 741, 709, 961, 231, 161

1. What is the LCM of 692, 198, 458, 488, 475?

Answer: LCM of 692, 198, 458, 488, 475 is 909138839400.

2. How to calculate the LCM of 692, 198, 458, 488, 475?

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 692, 198, 458, 488, 475.

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}.