Given numbers are 528,165,825,297,398

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

The LCM of 528,165,825,297,398 is 23641200.

Find LCM of 528,165,825,297,398 with Prime Factorization

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

2 x 3 x 5 x 11 x 8 x 1 x 5 x 9 x 199 = 23641200

Therefore, the lowest common multiple of 528,165,825,297,398 is 23641200.

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 165 x 825 x 297 x 398 = 8495938044000

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

165 : 1, 3, 5, 11, 15, 33, 55, 165

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

297 : 1, 3, 9, 11, 27, 33, 99, 297

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,165,825,297,398, is 1.

Now, the common factors can be found like this.

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

165:3x 5x 11

825:3x 5x 5x 11

297:3x 3x 3x 11

398:2x 199

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 5x 11x 11x 11 = 359370

Therefore, the value for common factors is 359370.

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 = 8495938044000/(1x359370)

LCM = 8495938044000/359370

LCM = 23641200

Thus, we can understand that the LCM of 528,165,825,297,398 is 23641200.

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

• LCM of 959, 434, 330, 931, 648
• LCM of 357, 915, 921, 645, 218
• LCM of 142, 798, 520, 285, 235
• LCM of 377, 669, 711, 535, 662
• LCM of 427, 830, 949, 600, 815

1. What is the LCM of 528, 165, 825, 297, 398?

Answer: LCM of 528, 165, 825, 297, 398 is 23641200.

2. How to calculate the LCM of 528, 165, 825, 297, 398?

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, 165, 825, 297, 398.

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}.