Given numbers are 354,438,963,891,540

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

The LCM of 354,438,963,891,540 is 8212329180.

Find LCM of 354,438,963,891,540 with Prime Factorization

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

2 x 3 x 3 x 3 x 59 x 73 x 107 x 33 x 10 = 8212329180

Therefore, the lowest common multiple of 354,438,963,891,540 is 8212329180.

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.

354 x 438 x 963 x 891 x 540 = 71841455666640

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

438 : 1, 2, 3, 6, 73, 146, 219, 438

963 : 1, 3, 9, 107, 321, 963

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,438,963,891,540, is 3.

Now, the common factors can be found like this.

354:2x 3x 59

438:2x 3x 73

963:3x 3x 107

891:3x 3x 3x 3x 11

540:2x 2x 3x 3x 3x 5

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 3x 3x 3x 3 = 2916

Therefore, the value for common factors is 2916.

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 = 71841455666640/(3x2916)

LCM = 71841455666640/8748

LCM = 8212329180

Thus, we can understand that the LCM of 354,438,963,891,540 is 8212329180.

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

• LCM of 235, 898, 323, 532, 675
• LCM of 701, 436, 692, 710, 642
• LCM of 128, 699, 667, 225, 304
• LCM of 964, 376, 151, 138, 764
• LCM of 626, 407, 404, 343, 423

1. What is the LCM of 354, 438, 963, 891, 540?

Answer: LCM of 354, 438, 963, 891, 540 is 8212329180.

2. How to calculate the LCM of 354, 438, 963, 891, 540?

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 354, 438, 963, 891, 540.

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}.