Given numbers are 528,704,471,322

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

The LCM of 528,704,471,322 is 53385024.

Find LCM of 528,704,471,322 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 1 x 4 x 157 x 161 = 53385024

Therefore, the lowest common multiple of 528,704,471,322 is 53385024.

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 704 x 471 x 322 = 56374585344

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

471 : 1, 3, 157, 471

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,704,471,322, is 1.

Now, the common factors can be found like this.

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

704:2x 2x 2x 2x 2x 2x 11

471:3x 157

322:2x 7x 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 2x 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 56374585344/(1x1056)

LCM = 56374585344/1056

LCM = 53385024

Thus, we can understand that the LCM of 528,704,471,322 is 53385024.

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

• LCM of 536, 675, 713, 485
• LCM of 459, 893, 692, 192
• LCM of 616, 425, 520, 699
• LCM of 826, 271, 616, 160
• LCM of 998, 204, 401, 938

1. What is the LCM of 528, 704, 471, 322?

Answer: LCM of 528, 704, 471, 322 is 53385024.

2. How to calculate the LCM of 528, 704, 471, 322?

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, 704, 471, 322.

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}.