Given numbers are 415,825,204,299,420

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

The LCM of 415,825,204,299,420 is 9745635900.

Find LCM of 415,825,204,299,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 83 x 55 x 17 x 299 x 7 = 9745635900

Therefore, the lowest common multiple of 415,825,204,299,420 is 9745635900.

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.

415 x 825 x 204 x 299 x 420 = 8771072310000

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.

415 : 1, 5, 83, 415

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

299 : 1, 13, 23, 299

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,825,204,299,420, is 1.

Now, the common factors can be found like this.

415:5x 83

825:3x 5x 5x 11

204:2x 2x 3x 17

299:13x 23

420:2x 2x 3x 5x 7

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 8771072310000/(1x900)

LCM = 8771072310000/900

LCM = 9745635900

Thus, we can understand that the LCM of 415,825,204,299,420 is 9745635900.

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

• LCM of 934, 261, 398, 301, 626
• LCM of 738, 847, 749, 963, 313
• LCM of 133, 606, 825, 973, 619
• LCM of 857, 536, 436, 209, 867
• LCM of 467, 294, 372, 868, 891

1. What is the LCM of 415, 825, 204, 299, 420?

Answer: LCM of 415, 825, 204, 299, 420 is 9745635900.

2. How to calculate the LCM of 415, 825, 204, 299, 420?

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 415, 825, 204, 299, 420.

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}.