Given numbers are 349,355,714,346,698

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

The LCM of 349,355,714,346,698 is 15303758190.

Find LCM of 349,355,714,346,698 with Prime Factorization

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

2 x 349 x 1 x 355 x 357 x 173 x 1 = 15303758190

Therefore, the lowest common multiple of 349,355,714,346,698 is 15303758190.

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 355 x 714 x 346 x 698 = 21364046433240

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

355 : 1, 5, 71, 355

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

346 : 1, 2, 173, 346

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,355,714,346,698, is 1.

Now, the common factors can be found like this.

349:349

355:5x 71

714:2x 3x 7x 17

346:2x 173

698:2x 349

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 349 = 1396

Therefore, the value for common factors is 1396.

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 = 21364046433240/(1x1396)

LCM = 21364046433240/1396

LCM = 15303758190

Thus, we can understand that the LCM of 349,355,714,346,698 is 15303758190.

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

• LCM of 509, 867, 925, 967, 142
• LCM of 949, 787, 407, 815, 166
• LCM of 157, 297, 533, 167, 416
• LCM of 235, 454, 556, 812, 731
• LCM of 163, 808, 578, 114, 286

1. What is the LCM of 349, 355, 714, 346, 698?

Answer: LCM of 349, 355, 714, 346, 698 is 15303758190.

2. How to calculate the LCM of 349, 355, 714, 346, 698?

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, 355, 714, 346, 698.

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}.