Given numbers are 343,242,676,493

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

The LCM of 343,242,676,493 is 13831621804.

Find LCM of 343,242,676,493 with Prime Factorization

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

2 x 343 x 121 x 338 x 493 = 13831621804

Therefore, the lowest common multiple of 343,242,676,493 is 13831621804.

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.

343 x 242 x 676 x 493 = 27663243608

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.

343 : 1, 7, 49, 343

242 : 1, 2, 11, 22, 121, 242

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

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,242,676,493, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

242:2x 11x 11

676:2x 2x 13x 13

493:17x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 27663243608/(1x2)

LCM = 27663243608/2

LCM = 13831621804

Thus, we can understand that the LCM of 343,242,676,493 is 13831621804.

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

• LCM of 210, 673, 397, 738
• LCM of 250, 395, 974, 538
• LCM of 318, 757, 108, 609
• LCM of 146, 838, 473, 328
• LCM of 567, 509, 116, 458

1. What is the LCM of 343, 242, 676, 493?

Answer: LCM of 343, 242, 676, 493 is 13831621804.

2. How to calculate the LCM of 343, 242, 676, 493?

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 343, 242, 676, 493.

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}.