Given numbers are 528,952,957,629,657

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

The LCM of 528,952,957,629,657 is 14764703184.

Find LCM of 528,952,957,629,657 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 17 x 2 x 7 x 29 x 37 x 219 = 14764703184

Therefore, the lowest common multiple of 528,952,957,629,657 is 14764703184.

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 952 x 957 x 629 x 657 = 198791963669376

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

957 : 1, 3, 11, 29, 33, 87, 319, 957

629 : 1, 17, 37, 629

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,952,957,629,657, is 1.

Now, the common factors can be found like this.

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

952:2x 2x 2x 7x 17

957:3x 11x 29

629:17x 37

657:3x 3x 73

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 11x 17 = 13464

Therefore, the value for common factors is 13464.

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 = 198791963669376/(1x13464)

LCM = 198791963669376/13464

LCM = 14764703184

Thus, we can understand that the LCM of 528,952,957,629,657 is 14764703184.

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

• LCM of 322, 653, 281, 499, 747
• LCM of 567, 768, 849, 544, 832
• LCM of 559, 162, 384, 709, 104
• LCM of 386, 238, 501, 867, 268
• LCM of 982, 978, 151, 461, 583

1. What is the LCM of 528, 952, 957, 629, 657?

Answer: LCM of 528, 952, 957, 629, 657 is 14764703184.

2. How to calculate the LCM of 528, 952, 957, 629, 657?

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, 952, 957, 629, 657.

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}.