Given numbers are 349,259,121,319

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

The LCM of 349,259,121,319 is 317182019.

Find LCM of 349,259,121,319 with Prime Factorization

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

11 x 349 x 259 x 11 x 29 = 317182019

Therefore, the lowest common multiple of 349,259,121,319 is 317182019.

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.

349 x 259 x 121 x 319 = 3489002209

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.

349 : 1, 349

259 : 1, 7, 37, 259

121 : 1, 11, 121

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,259,121,319, is 1.

Now, the common factors can be found like this.

349:349

259:7x 37

121:11x 11

319:11x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 3489002209/(1x11)

LCM = 3489002209/11

LCM = 317182019

Thus, we can understand that the LCM of 349,259,121,319 is 317182019.

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

• LCM of 493, 699, 681, 678
• LCM of 552, 352, 765, 243
• LCM of 793, 765, 227, 257
• LCM of 384, 426, 636, 730
• LCM of 842, 150, 710, 188

1. What is the LCM of 349, 259, 121, 319?

Answer: LCM of 349, 259, 121, 319 is 317182019.

2. How to calculate the LCM of 349, 259, 121, 319?

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 349, 259, 121, 319.

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}.