Given numbers are 528,966,408,569

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

The LCM of 528,966,408,569 is 822282384.

Find LCM of 528,966,408,569 with Prime Factorization

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

2 x 2 x 2 x 3 x 22 x 161 x 17 x 569 = 822282384

Therefore, the lowest common multiple of 528,966,408,569 is 822282384.

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.

528 x 966 x 408 x 569 = 118408663296

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,966,408,569, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

966:2x 3x 7x 23

408:2x 2x 2x 3x 17

569:569

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 3 = 144

Therefore, the value for common factors is 144.

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 = 118408663296/(1x144)

LCM = 118408663296/144

LCM = 822282384

Thus, we can understand that the LCM of 528,966,408,569 is 822282384.

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

• LCM of 558, 972, 511, 280
• LCM of 277, 288, 830, 765
• LCM of 360, 415, 280, 993
• LCM of 467, 796, 260, 865
• LCM of 689, 418, 233, 307

1. What is the LCM of 528, 966, 408, 569?

Answer: LCM of 528, 966, 408, 569 is 822282384.

2. How to calculate the LCM of 528, 966, 408, 569?

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 528, 966, 408, 569.

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}.