Given numbers are 349,682,659,341,469

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

The LCM of 349,682,659,341,469 is 73564461278.

Find LCM of 349,682,659,341,469 with Prime Factorization

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

11 x 31 x 349 x 2 x 659 x 1 x 469 = 73564461278

Therefore, the lowest common multiple of 349,682,659,341,469 is 73564461278.

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 682 x 659 x 341 x 469 = 25085481295798

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

659 : 1, 659

341 : 1, 11, 31, 341

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,682,659,341,469, is 1.

Now, the common factors can be found like this.

349:349

682:2x 11x 31

659:659

341:11x 31

469:7x 67

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

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 25085481295798/(1x341)

LCM = 25085481295798/341

LCM = 73564461278

Thus, we can understand that the LCM of 349,682,659,341,469 is 73564461278.

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

• LCM of 365, 959, 701, 511, 628
• LCM of 876, 508, 968, 123, 522
• LCM of 260, 870, 237, 537, 289
• LCM of 142, 524, 941, 573, 332
• LCM of 979, 298, 771, 692, 222

1. What is the LCM of 349, 682, 659, 341, 469?

Answer: LCM of 349, 682, 659, 341, 469 is 73564461278.

2. How to calculate the LCM of 349, 682, 659, 341, 469?

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, 682, 659, 341, 469.

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}.