Given numbers are 172,190,330,920,440

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

The LCM of 172,190,330,920,440 is 24804120.

Find LCM of 172,190,330,920,440 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 43 x 19 x 3 x 23 x 1 = 24804120

Therefore, the lowest common multiple of 172,190,330,920,440 is 24804120.

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.

172 x 190 x 330 x 920 x 440 = 4365525120000

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.

172 : 1, 2, 4, 43, 86, 172

190 : 1, 2, 5, 10, 19, 38, 95, 190

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,190,330,920,440, is 2.

Now, the common factors can be found like this.

172:2x 2x 43

190:2x 5x 19

330:2x 3x 5x 11

920:2x 2x 2x 5x 23

440:2x 2x 2x 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 2x 2x 2x 5x 5x 5x 11 = 88000

Therefore, the value for common factors is 88000.

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 = 4365525120000/(2x88000)

LCM = 4365525120000/176000

LCM = 24804120

Thus, we can understand that the LCM of 172,190,330,920,440 is 24804120.

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

• LCM of 976, 155, 808, 108, 593
• LCM of 142, 863, 534, 180, 933
• LCM of 101, 670, 144, 276, 936
• LCM of 884, 640, 275, 931, 752
• LCM of 415, 818, 498, 648, 576

1. What is the LCM of 172, 190, 330, 920, 440?

Answer: LCM of 172, 190, 330, 920, 440 is 24804120.

2. How to calculate the LCM of 172, 190, 330, 920, 440?

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 172, 190, 330, 920, 440.

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}.