Given numbers are 828,224,212,752

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

The LCM of 828,224,212,752 is 115502688.

Find LCM of 828,224,212,752 with Prime Factorization

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

2 x 2 x 2 x 2 x 207 x 14 x 53 x 47 = 115502688

Therefore, the lowest common multiple of 828,224,212,752 is 115502688.

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.

828 x 224 x 212 x 752 = 29568688128

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.

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

212 : 1, 2, 4, 53, 106, 212

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,224,212,752, is 4.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

224:2x 2x 2x 2x 2x 7

212:2x 2x 53

752:2x 2x 2x 2x 47

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 29568688128/(4x64)

LCM = 29568688128/256

LCM = 115502688

Thus, we can understand that the LCM of 828,224,212,752 is 115502688.

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

• LCM of 221, 198, 974, 225
• LCM of 436, 727, 254, 231
• LCM of 799, 574, 294, 489
• LCM of 699, 829, 240, 357
• LCM of 790, 526, 694, 183

1. What is the LCM of 828, 224, 212, 752?

Answer: LCM of 828, 224, 212, 752 is 115502688.

2. How to calculate the LCM of 828, 224, 212, 752?

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 828, 224, 212, 752.

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}.