Given numbers are 528,132,612,525

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

The LCM of 528,132,612,525 is 4712400.

Find LCM of 528,132,612,525 with Prime Factorization

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

2 x 2 x 3 x 11 x 4 x 1 x 51 x 175 = 4712400

Therefore, the lowest common multiple of 528,132,612,525 is 4712400.

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 132 x 612 x 525 = 22393324800

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,132,612,525, is 3.

Now, the common factors can be found like this.

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

132:2x 2x 3x 11

612:2x 2x 3x 3x 17

525:3x 5x 5x 7

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 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 22393324800/(3x1584)

LCM = 22393324800/4752

LCM = 4712400

Thus, we can understand that the LCM of 528,132,612,525 is 4712400.

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

• LCM of 917, 303, 194, 340
• LCM of 569, 963, 772, 861
• LCM of 420, 500, 515, 141
• LCM of 713, 619, 998, 244
• LCM of 568, 899, 901, 213

1. What is the LCM of 528, 132, 612, 525?

Answer: LCM of 528, 132, 612, 525 is 4712400.

2. How to calculate the LCM of 528, 132, 612, 525?

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, 132, 612, 525.

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}.