Given numbers are 328,504,283,142

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

The LCM of 328,504,283,142 is 415201752.

Find LCM of 328,504,283,142 with Prime Factorization

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

2 x 2 x 2 x 41 x 63 x 283 x 71 = 415201752

Therefore, the lowest common multiple of 328,504,283,142 is 415201752.

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.

328 x 504 x 283 x 142 = 6643228032

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

283 : 1, 283

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,504,283,142, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

504:2x 2x 2x 3x 3x 7

283:283

142:2x 71

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6643228032/(1x16)

LCM = 6643228032/16

LCM = 415201752

Thus, we can understand that the LCM of 328,504,283,142 is 415201752.

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

• LCM of 181, 588, 185, 403
• LCM of 192, 849, 324, 622
• LCM of 450, 880, 178, 894
• LCM of 514, 367, 435, 205
• LCM of 435, 469, 761, 776

1. What is the LCM of 328, 504, 283, 142?

Answer: LCM of 328, 504, 283, 142 is 415201752.

2. How to calculate the LCM of 328, 504, 283, 142?

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 328, 504, 283, 142.

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}.