Given numbers are 269,283,689,191,429

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

The LCM of 269,283,689,191,429 is 330601823409.

Find LCM of 269,283,689,191,429 with Prime Factorization

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

13 x 269 x 283 x 53 x 191 x 33 = 330601823409

Therefore, the lowest common multiple of 269,283,689,191,429 is 330601823409.

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.

269 x 283 x 689 x 191 x 429 = 4297823704317

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.

269 : 1, 269

283 : 1, 283

689 : 1, 13, 53, 689

191 : 1, 191

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,283,689,191,429, is 1.

Now, the common factors can be found like this.

269:269

283:283

689:13x 53

191:191

429:3x 11x 13

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 = 4297823704317/(1x13)

LCM = 4297823704317/13

LCM = 330601823409

Thus, we can understand that the LCM of 269,283,689,191,429 is 330601823409.

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

• LCM of 382, 315, 899, 404, 571
• LCM of 299, 955, 539, 801, 234
• LCM of 449, 189, 878, 865, 968
• LCM of 475, 636, 787, 814, 280
• LCM of 513, 160, 851, 696, 361

1. What is the LCM of 269, 283, 689, 191, 429?

Answer: LCM of 269, 283, 689, 191, 429 is 330601823409.

2. How to calculate the LCM of 269, 283, 689, 191, 429?

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 269, 283, 689, 191, 429.

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}.