Given numbers are 351,252,540,993

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

The LCM of 351,252,540,993 is 16265340.

Find LCM of 351,252,540,993 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 13 x 7 x 5 x 331 = 16265340

Therefore, the lowest common multiple of 351,252,540,993 is 16265340.

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.

351 x 252 x 540 x 993 = 47429731440

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

993 : 1, 3, 331, 993

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,252,540,993, is 3.

Now, the common factors can be found like this.

351:3x 3x 3x 13

252:2x 2x 3x 3x 7

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

993:3x 331

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 3 = 972

Therefore, the value for common factors is 972.

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 = 47429731440/(3x972)

LCM = 47429731440/2916

LCM = 16265340

Thus, we can understand that the LCM of 351,252,540,993 is 16265340.

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

• LCM of 977, 227, 864, 498
• LCM of 294, 477, 883, 328
• LCM of 622, 789, 904, 180
• LCM of 849, 317, 617, 952
• LCM of 385, 621, 850, 221

1. What is the LCM of 351, 252, 540, 993?

Answer: LCM of 351, 252, 540, 993 is 16265340.

2. How to calculate the LCM of 351, 252, 540, 993?

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 351, 252, 540, 993.

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}.