Given numbers are 528,173,149,442,660

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

The LCM of 528,173,149,442,660 is 15039332880.

Find LCM of 528,173,149,442,660 with Prime Factorization

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

2 x 2 x 3 x 11 x 4 x 173 x 149 x 221 x 5 = 15039332880

Therefore, the lowest common multiple of 528,173,149,442,660 is 15039332880.

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 173 x 149 x 442 x 660 = 3970383880320

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

173 : 1, 173

149 : 1, 149

442 : 1, 2, 13, 17, 26, 34, 221, 442

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,173,149,442,660, is 1.

Now, the common factors can be found like this.

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

173:173

149:149

442:2x 13x 17

660:2x 2x 3x 5x 11

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 11 = 264

Therefore, the value for common factors is 264.

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 = 3970383880320/(1x264)

LCM = 3970383880320/264

LCM = 15039332880

Thus, we can understand that the LCM of 528,173,149,442,660 is 15039332880.

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

• LCM of 157, 550, 181, 629, 246
• LCM of 251, 161, 423, 687, 942
• LCM of 776, 390, 374, 382, 891
• LCM of 265, 221, 341, 763, 428
• LCM of 482, 605, 890, 966, 351

1. What is the LCM of 528, 173, 149, 442, 660?

Answer: LCM of 528, 173, 149, 442, 660 is 15039332880.

2. How to calculate the LCM of 528, 173, 149, 442, 660?

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, 173, 149, 442, 660.

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}.