Given numbers are 349,496,676,341

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

The LCM of 349,496,676,341 is 321800336.

Find LCM of 349,496,676,341 with Prime Factorization

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

2 x 2 x 31 x 349 x 4 x 169 x 11 = 321800336

Therefore, the lowest common multiple of 349,496,676,341 is 321800336.

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 496 x 676 x 341 = 39903241664

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,496,676,341, is 1.

Now, the common factors can be found like this.

349:349

496:2x 2x 2x 2x 31

676:2x 2x 13x 13

341:11x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 39903241664/(1x124)

LCM = 39903241664/124

LCM = 321800336

Thus, we can understand that the LCM of 349,496,676,341 is 321800336.

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

• LCM of 813, 422, 669, 611
• LCM of 819, 746, 509, 794
• LCM of 421, 546, 573, 810
• LCM of 794, 760, 597, 135
• LCM of 623, 736, 863, 600

1. What is the LCM of 349, 496, 676, 341?

Answer: LCM of 349, 496, 676, 341 is 321800336.

2. How to calculate the LCM of 349, 496, 676, 341?

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, 496, 676, 341.

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}.