Given numbers are 698,461,584,546,422

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

The LCM of 698,461,584,546,422 is 5412330415128.

Find LCM of 698,461,584,546,422 with Prime Factorization

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

2 x 349 x 461 x 292 x 273 x 211 = 5412330415128

Therefore, the lowest common multiple of 698,461,584,546,422 is 5412330415128.

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 461 x 584 x 546 x 422 = 43298643321024

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

461 : 1, 461

584 : 1, 2, 4, 8, 73, 146, 292, 584

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,461,584,546,422, is 1.

Now, the common factors can be found like this.

698:2x 349

461:461

584:2x 2x 2x 73

546:2x 3x 7x 13

422:2x 211

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 = 43298643321024/(1x8)

LCM = 43298643321024/8

LCM = 5412330415128

Thus, we can understand that the LCM of 698,461,584,546,422 is 5412330415128.

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

• LCM of 784, 812, 544, 196, 340
• LCM of 428, 140, 952, 946, 622
• LCM of 185, 330, 433, 395, 109
• LCM of 478, 327, 723, 842, 403
• LCM of 417, 479, 363, 478, 615

1. What is the LCM of 698, 461, 584, 546, 422?

Answer: LCM of 698, 461, 584, 546, 422 is 5412330415128.

2. How to calculate the LCM of 698, 461, 584, 546, 422?

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, 461, 584, 546, 422.

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}.