Given numbers are 169,208,311,887

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

The LCM of 169,208,311,887 is 745917328.

Find LCM of 169,208,311,887 with Prime Factorization

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

13 x 13 x 16 x 311 x 887 = 745917328

Therefore, the lowest common multiple of 169,208,311,887 is 745917328.

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.

169 x 208 x 311 x 887 = 9696925264

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.

169 : 1, 13, 169

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

311 : 1, 311

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,208,311,887, is 1.

Now, the common factors can be found like this.

169:13x 13

208:2x 2x 2x 2x 13

311:311

887:887

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

13 = 13

Therefore, the value for common factors is 13.

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 = 9696925264/(1x13)

LCM = 9696925264/13

LCM = 745917328

Thus, we can understand that the LCM of 169,208,311,887 is 745917328.

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

• LCM of 898, 865, 489, 795
• LCM of 961, 659, 269, 293
• LCM of 505, 523, 766, 162
• LCM of 741, 764, 547, 428
• LCM of 803, 491, 929, 526

1. What is the LCM of 169, 208, 311, 887?

Answer: LCM of 169, 208, 311, 887 is 745917328.

2. How to calculate the LCM of 169, 208, 311, 887?

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 169, 208, 311, 887.

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}.