Given numbers are 365,412,466,22

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

The LCM of 365,412,466,22 is 385423940.

Find LCM of 365,412,466,22 with Prime Factorization

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

2 x 365 x 206 x 233 x 11 = 385423940

Therefore, the lowest common multiple of 365,412,466,22 is 385423940.

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.

365 x 412 x 466 x 22 = 1541695760

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.

365 : 1, 5, 73, 365

412 : 1, 2, 4, 103, 206, 412

466 : 1, 2, 233, 466

22 : 1, 2, 11, 22

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,412,466,22, is 1.

Now, the common factors can be found like this.

365:5x 73

412:2x 2x 103

466:2x 233

22:2x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1541695760/(1x4)

LCM = 1541695760/4

LCM = 385423940

Thus, we can understand that the LCM of 365,412,466,22 is 385423940.

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

• LCM of 499, 366, 806, 45
• LCM of 269, 647, 824, 75
• LCM of 490, 314, 331, 99
• LCM of 779, 486, 274, 48
• LCM of 648, 100, 616, 42

1. What is the LCM of 365, 412, 466, 22?

Answer: LCM of 365, 412, 466, 22 is 385423940.

2. How to calculate the LCM of 365, 412, 466, 22?

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 365, 412, 466, 22.

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}.