Given numbers are 684,252,165,501,828

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

The LCM of 684,252,165,501,828 is 1011488940.

Find LCM of 684,252,165,501,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 7 x 55 x 167 x 23 = 1011488940

Therefore, the lowest common multiple of 684,252,165,501,828 is 1011488940.

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.

684 x 252 x 165 x 501 x 828 = 11798006996160

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

165 : 1, 3, 5, 11, 15, 33, 55, 165

501 : 1, 3, 167, 501

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 684,252,165,501,828, is 3.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

252:2x 2x 3x 3x 7

165:3x 5x 11

501:3x 167

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.

2x 2x 2x 2x 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 11798006996160/(3x3888)

LCM = 11798006996160/11664

LCM = 1011488940

Thus, we can understand that the LCM of 684,252,165,501,828 is 1011488940.

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

• LCM of 253, 125, 147, 675, 173
• LCM of 317, 750, 864, 139, 353
• LCM of 763, 364, 922, 366, 274
• LCM of 120, 621, 656, 504, 108
• LCM of 835, 459, 148, 112, 330

1. What is the LCM of 684, 252, 165, 501, 828?

Answer: LCM of 684, 252, 165, 501, 828 is 1011488940.

2. How to calculate the LCM of 684, 252, 165, 501, 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 684, 252, 165, 501, 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}.