Given numbers are 228,435,273,849,141

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

The LCM of 228,435,273,849,141 is 40015526460.

Find LCM of 228,435,273,849,141 with Prime Factorization

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

3 x 76 x 145 x 91 x 283 x 47 = 40015526460

Therefore, the lowest common multiple of 228,435,273,849,141 is 40015526460.

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.

228 x 435 x 273 x 849 x 141 = 3241257643260

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

435 : 1, 3, 5, 15, 29, 87, 145, 435

273 : 1, 3, 7, 13, 21, 39, 91, 273

849 : 1, 3, 283, 849

141 : 1, 3, 47, 141

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,435,273,849,141, is 3.

Now, the common factors can be found like this.

228:2x 2x 3x 19

435:3x 5x 29

273:3x 7x 13

849:3x 283

141:3x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 3241257643260/(3x27)

LCM = 3241257643260/81

LCM = 40015526460

Thus, we can understand that the LCM of 228,435,273,849,141 is 40015526460.

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

• LCM of 609, 318, 177, 594, 494
• LCM of 462, 146, 471, 484, 918
• LCM of 348, 332, 297, 922, 977
• LCM of 896, 659, 145, 103, 363
• LCM of 961, 678, 604, 115, 427

1. What is the LCM of 228, 435, 273, 849, 141?

Answer: LCM of 228, 435, 273, 849, 141 is 40015526460.

2. How to calculate the LCM of 228, 435, 273, 849, 141?

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 228, 435, 273, 849, 141.

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}.