Given numbers are 330,698,326,828,241

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

The LCM of 330,698,326,828,241 is 624342789180.

Find LCM of 330,698,326,828,241 with Prime Factorization

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

2 x 3 x 55 x 349 x 163 x 138 x 241 = 624342789180

Therefore, the lowest common multiple of 330,698,326,828,241 is 624342789180.

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.

330 x 698 x 326 x 828 x 241 = 14984226940320

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

698 : 1, 2, 349, 698

326 : 1, 2, 163, 326

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,698,326,828,241, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

698:2x 349

326:2x 163

828:2x 2x 3x 3x 23

241:241

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 14984226940320/(1x24)

LCM = 14984226940320/24

LCM = 624342789180

Thus, we can understand that the LCM of 330,698,326,828,241 is 624342789180.

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

• LCM of 221, 903, 383, 680, 719
• LCM of 231, 491, 133, 818, 714
• LCM of 689, 452, 258, 359, 126
• LCM of 157, 403, 529, 806, 847
• LCM of 821, 358, 582, 137, 853

1. What is the LCM of 330, 698, 326, 828, 241?

Answer: LCM of 330, 698, 326, 828, 241 is 624342789180.

2. How to calculate the LCM of 330, 698, 326, 828, 241?

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 330, 698, 326, 828, 241.

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}.