Given numbers are 993,939,828

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

The LCM of 993,939,828 is 85783284.

Find LCM of 993,939,828 with Prime Factorization

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

3 x 331 x 313 x 276 = 85783284

Therefore, the lowest common multiple of 993,939,828 is 85783284.

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.

993 x 939 x 828 = 772049556

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.

993 : 1, 3, 331, 993

939 : 1, 3, 313, 939

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,939,828, is 3.

Now, the common factors can be found like this.

993:3x 331

939:3x 313

828:2x 2x 3x 3x 23

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

3 = 3

Therefore, the value for common factors is 3.

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 = 772049556/(3x3)

LCM = 772049556/9

LCM = 85783284

Thus, we can understand that the LCM of 993,939,828 is 85783284.

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

• LCM of 886, 184, 363
• LCM of 698, 346, 217
• LCM of 249, 817, 267
• LCM of 858, 975, 131
• LCM of 497, 910, 308

1. What is the LCM of 993, 939, 828?

Answer: LCM of 993, 939, 828 is 85783284.

2. How to calculate the LCM of 993, 939, 828?

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 993, 939, 828.

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}.