Given numbers are 468,566,213,420

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

The LCM of 468,566,213,420 is 329123340.

Find LCM of 468,566,213,420 with Prime Factorization

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

2 x 2 x 3 x 39 x 283 x 71 x 35 = 329123340

Therefore, the lowest common multiple of 468,566,213,420 is 329123340.

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.

468 x 566 x 213 x 420 = 23696880480

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

566 : 1, 2, 283, 566

213 : 1, 3, 71, 213

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,566,213,420, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

566:2x 283

213:3x 71

420:2x 2x 3x 5x 7

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 23696880480/(1x72)

LCM = 23696880480/72

LCM = 329123340

Thus, we can understand that the LCM of 468,566,213,420 is 329123340.

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

• LCM of 349, 175, 798, 480
• LCM of 328, 137, 211, 142
• LCM of 361, 713, 342, 587
• LCM of 138, 109, 328, 914
• LCM of 996, 683, 853, 674

1. What is the LCM of 468, 566, 213, 420?

Answer: LCM of 468, 566, 213, 420 is 329123340.

2. How to calculate the LCM of 468, 566, 213, 420?

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 468, 566, 213, 420.

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}.