Given numbers are 242,480,305,422,329

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

The LCM of 242,480,305,422,329 is 245943186720.

Find LCM of 242,480,305,422,329 with Prime Factorization

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

2 x 5 x 121 x 48 x 61 x 211 x 329 = 245943186720

Therefore, the lowest common multiple of 242,480,305,422,329 is 245943186720.

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 480 x 305 x 422 x 329 = 4918863734400

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

305 : 1, 5, 61, 305

422 : 1, 2, 211, 422

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,480,305,422,329, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

480:2x 2x 2x 2x 2x 3x 5

305:5x 61

422:2x 211

329:7x 47

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 5 = 20

Therefore, the value for common factors is 20.

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 = 4918863734400/(1x20)

LCM = 4918863734400/20

LCM = 245943186720

Thus, we can understand that the LCM of 242,480,305,422,329 is 245943186720.

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

• LCM of 638, 953, 494, 499, 420
• LCM of 372, 696, 236, 902, 961
• LCM of 358, 443, 775, 423, 742
• LCM of 516, 154, 542, 460, 706
• LCM of 884, 480, 507, 410, 968

1. What is the LCM of 242, 480, 305, 422, 329?

Answer: LCM of 242, 480, 305, 422, 329 is 245943186720.

2. How to calculate the LCM of 242, 480, 305, 422, 329?

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, 480, 305, 422, 329.

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}.