Given numbers are 843,156,192,288,257

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

The LCM of 843,156,192,288,257 is 540760896.

Find LCM of 843,156,192,288,257 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 281 x 13 x 2 x 3 x 257 = 540760896

Therefore, the lowest common multiple of 843,156,192,288,257 is 540760896.

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.

843 x 156 x 192 x 288 x 257 = 1868869656576

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.

843 : 1, 3, 281, 843

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,156,192,288,257, is 1.

Now, the common factors can be found like this.

843:3x 281

156:2x 2x 3x 13

192:2x 2x 2x 2x 2x 2x 3

288:2x 2x 2x 2x 2x 3x 3

257:257

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 2x 2x 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 1868869656576/(1x3456)

LCM = 1868869656576/3456

LCM = 540760896

Thus, we can understand that the LCM of 843,156,192,288,257 is 540760896.

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

• LCM of 178, 100, 112, 688, 881
• LCM of 961, 504, 820, 173, 333
• LCM of 708, 961, 670, 550, 895
• LCM of 930, 282, 300, 185, 138
• LCM of 617, 564, 705, 207, 187

1. What is the LCM of 843, 156, 192, 288, 257?

Answer: LCM of 843, 156, 192, 288, 257 is 540760896.

2. How to calculate the LCM of 843, 156, 192, 288, 257?

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 843, 156, 192, 288, 257.

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}.