Given numbers are 330,447,420,495,143

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

The LCM of 330,447,420,495,143 is 26846820.

Find LCM of 330,447,420,495,143 with Prime Factorization

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

2 x 3 x 5 x 11 x 1 x 149 x 14 x 3 x 13 = 26846820

Therefore, the lowest common multiple of 330,447,420,495,143 is 26846820.

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 447 x 420 x 495 x 143 = 4385428047000

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

447 : 1, 3, 149, 447

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,447,420,495,143, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

447:3x 149

420:2x 2x 3x 5x 7

495:3x 3x 5x 11

143:11x 13

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

2x 3x 3x 3x 5x 5x 11x 11 = 163350

Therefore, the value for common factors is 163350.

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 = 4385428047000/(1x163350)

LCM = 4385428047000/163350

LCM = 26846820

Thus, we can understand that the LCM of 330,447,420,495,143 is 26846820.

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

• LCM of 827, 959, 445, 172, 115
• LCM of 687, 415, 655, 627, 893
• LCM of 751, 890, 813, 485, 436
• LCM of 179, 665, 101, 729, 666
• LCM of 820, 158, 233, 664, 881

1. What is the LCM of 330, 447, 420, 495, 143?

Answer: LCM of 330, 447, 420, 495, 143 is 26846820.

2. How to calculate the LCM of 330, 447, 420, 495, 143?

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, 447, 420, 495, 143.

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}.