Given numbers are 242,382,416,533

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

The LCM of 242,382,416,533 is 394181216.

Find LCM of 242,382,416,533 with Prime Factorization

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

2 x 13 x 121 x 191 x 16 x 41 = 394181216

Therefore, the lowest common multiple of 242,382,416,533 is 394181216.

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.

242 x 382 x 416 x 533 = 20497423232

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.

242 : 1, 2, 11, 22, 121, 242

382 : 1, 2, 191, 382

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,382,416,533, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

382:2x 191

416:2x 2x 2x 2x 2x 13

533:13x 41

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 13 = 52

Therefore, the value for common factors is 52.

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 = 20497423232/(1x52)

LCM = 20497423232/52

LCM = 394181216

Thus, we can understand that the LCM of 242,382,416,533 is 394181216.

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

• LCM of 109, 623, 758, 595
• LCM of 613, 322, 502, 665
• LCM of 229, 752, 348, 473
• LCM of 689, 318, 393, 223
• LCM of 776, 741, 585, 807

1. What is the LCM of 242, 382, 416, 533?

Answer: LCM of 242, 382, 416, 533 is 394181216.

2. How to calculate the LCM of 242, 382, 416, 533?

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 242, 382, 416, 533.

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}.