Given numbers are 488,322,301,415,338

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

The LCM of 488,322,301,415,338 is 236945767240.

Find LCM of 488,322,301,415,338 with Prime Factorization

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

2 x 7 x 244 x 23 x 43 x 415 x 169 = 236945767240

Therefore, the lowest common multiple of 488,322,301,415,338 is 236945767240.

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.

488 x 322 x 301 x 415 x 338 = 6634481482720

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

322 : 1, 2, 7, 14, 23, 46, 161, 322

301 : 1, 7, 43, 301

415 : 1, 5, 83, 415

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,322,301,415,338, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

322:2x 7x 23

301:7x 43

415:5x 83

338:2x 13x 13

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 7 = 28

Therefore, the value for common factors is 28.

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 = 6634481482720/(1x28)

LCM = 6634481482720/28

LCM = 236945767240

Thus, we can understand that the LCM of 488,322,301,415,338 is 236945767240.

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

• LCM of 343, 945, 960, 158, 491
• LCM of 439, 887, 898, 897, 928
• LCM of 134, 546, 893, 728, 816
• LCM of 445, 494, 917, 913, 852
• LCM of 567, 909, 845, 895, 125

1. What is the LCM of 488, 322, 301, 415, 338?

Answer: LCM of 488, 322, 301, 415, 338 is 236945767240.

2. How to calculate the LCM of 488, 322, 301, 415, 338?

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 488, 322, 301, 415, 338.

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}.