Given numbers are 528,561,193,182,366

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

The LCM of 528,561,193,182,366 is 9616374768.

Find LCM of 528,561,193,182,366 with Prime Factorization

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

2 x 3 x 11 x 8 x 17 x 193 x 91 x 61 = 9616374768

Therefore, the lowest common multiple of 528,561,193,182,366 is 9616374768.

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 561 x 193 x 182 x 366 = 3808084408128

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

193 : 1, 193

182 : 1, 2, 7, 13, 14, 26, 91, 182

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,561,193,182,366, is 1.

Now, the common factors can be found like this.

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

561:3x 11x 17

193:193

182:2x 7x 13

366:2x 3x 61

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 3808084408128/(1x396)

LCM = 3808084408128/396

LCM = 9616374768

Thus, we can understand that the LCM of 528,561,193,182,366 is 9616374768.

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

• LCM of 932, 772, 268, 398, 341
• LCM of 866, 228, 577, 439, 512
• LCM of 827, 150, 650, 479, 302
• LCM of 634, 785, 363, 841, 381
• LCM of 364, 653, 899, 123, 191

1. What is the LCM of 528, 561, 193, 182, 366?

Answer: LCM of 528, 561, 193, 182, 366 is 9616374768.

2. How to calculate the LCM of 528, 561, 193, 182, 366?

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, 561, 193, 182, 366.

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}.