Given numbers are 420,679,449,466

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

The LCM of 420,679,449,466 is 4262096580.

Find LCM of 420,679,449,466 with Prime Factorization

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

2 x 7 x 30 x 97 x 449 x 233 = 4262096580

Therefore, the lowest common multiple of 420,679,449,466 is 4262096580.

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.

420 x 679 x 449 x 466 = 59669352120

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

679 : 1, 7, 97, 679

449 : 1, 449

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,679,449,466, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

679:7x 97

449:449

466:2x 233

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 59669352120/(1x14)

LCM = 59669352120/14

LCM = 4262096580

Thus, we can understand that the LCM of 420,679,449,466 is 4262096580.

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

• LCM of 721, 534, 862, 996
• LCM of 963, 391, 563, 362
• LCM of 605, 135, 133, 820
• LCM of 549, 456, 243, 803
• LCM of 400, 736, 289, 116

1. What is the LCM of 420, 679, 449, 466?

Answer: LCM of 420, 679, 449, 466 is 4262096580.

2. How to calculate the LCM of 420, 679, 449, 466?

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 420, 679, 449, 466.

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}.