Given numbers are 422,456,446,690,403

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

The LCM of 422,456,446,690,403 is 994386105960.

Find LCM of 422,456,446,690,403 with Prime Factorization

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

2 x 3 x 211 x 76 x 223 x 115 x 403 = 994386105960

Therefore, the lowest common multiple of 422,456,446,690,403 is 994386105960.

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.

422 x 456 x 446 x 690 x 403 = 23865266543040

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.

422 : 1, 2, 211, 422

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

446 : 1, 2, 223, 446

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,456,446,690,403, is 1.

Now, the common factors can be found like this.

422:2x 211

456:2x 2x 2x 3x 19

446:2x 223

690:2x 3x 5x 23

403:13x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 23865266543040/(1x24)

LCM = 23865266543040/24

LCM = 994386105960

Thus, we can understand that the LCM of 422,456,446,690,403 is 994386105960.

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

• LCM of 368, 657, 578, 291, 949
• LCM of 798, 949, 330, 161, 553
• LCM of 981, 352, 831, 207, 748
• LCM of 322, 684, 143, 485, 118
• LCM of 232, 223, 142, 614, 155

1. What is the LCM of 422, 456, 446, 690, 403?

Answer: LCM of 422, 456, 446, 690, 403 is 994386105960.

2. How to calculate the LCM of 422, 456, 446, 690, 403?

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 422, 456, 446, 690, 403.

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}.