Given numbers are 722,420,321,466

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

The LCM of 722,420,321,466 is 3780038220.

Find LCM of 722,420,321,466 with Prime Factorization

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

2 x 3 x 361 x 70 x 107 x 233 = 3780038220

Therefore, the lowest common multiple of 722,420,321,466 is 3780038220.

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.

722 x 420 x 321 x 466 = 45360458640

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.

722 : 1, 2, 19, 38, 361, 722

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

321 : 1, 3, 107, 321

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,420,321,466, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

420:2x 2x 3x 5x 7

321:3x 107

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 45360458640/(1x12)

LCM = 45360458640/12

LCM = 3780038220

Thus, we can understand that the LCM of 722,420,321,466 is 3780038220.

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

• LCM of 845, 732, 525, 726
• LCM of 171, 591, 760, 913
• LCM of 108, 580, 360, 662
• LCM of 506, 650, 301, 315
• LCM of 875, 280, 247, 548

1. What is the LCM of 722, 420, 321, 466?

Answer: LCM of 722, 420, 321, 466 is 3780038220.

2. How to calculate the LCM of 722, 420, 321, 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 722, 420, 321, 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}.