Given numbers are 522,504,565,681,828

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

The LCM of 522,504,565,681,828 is 43115226840.

Find LCM of 522,504,565,681,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 29 x 14 x 565 x 227 x 23 = 43115226840

Therefore, the lowest common multiple of 522,504,565,681,828 is 43115226840.

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.

522 x 504 x 565 x 681 x 828 = 83816000976960

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

565 : 1, 5, 113, 565

681 : 1, 3, 227, 681

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,504,565,681,828, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

504:2x 2x 2x 3x 3x 7

565:5x 113

681:3x 227

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 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 83816000976960/(1x1944)

LCM = 83816000976960/1944

LCM = 43115226840

Thus, we can understand that the LCM of 522,504,565,681,828 is 43115226840.

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

• LCM of 486, 374, 243, 276, 189
• LCM of 953, 129, 484, 324, 851
• LCM of 868, 323, 482, 109, 813
• LCM of 108, 526, 500, 546, 260
• LCM of 281, 650, 745, 850, 536

1. What is the LCM of 522, 504, 565, 681, 828?

Answer: LCM of 522, 504, 565, 681, 828 is 43115226840.

2. How to calculate the LCM of 522, 504, 565, 681, 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 522, 504, 565, 681, 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}.