Given numbers are 174,207,330,474,442

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

The LCM of 174,207,330,474,442 is 11528701470.

Find LCM of 174,207,330,474,442 with Prime Factorization

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

2 x 3 x 29 x 69 x 55 x 79 x 221 = 11528701470

Therefore, the lowest common multiple of 174,207,330,474,442 is 11528701470.

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.

174 x 207 x 330 x 474 x 442 = 2490199517520

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

207 : 1, 3, 9, 23, 69, 207

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,207,330,474,442, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

207:3x 3x 23

330:2x 3x 5x 11

474:2x 3x 79

442:2x 13x 17

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 3 = 216

Therefore, the value for common factors is 216.

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 = 2490199517520/(1x216)

LCM = 2490199517520/216

LCM = 11528701470

Thus, we can understand that the LCM of 174,207,330,474,442 is 11528701470.

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

• LCM of 376, 686, 821, 399, 705
• LCM of 500, 797, 972, 686, 908
• LCM of 630, 199, 871, 983, 868
• LCM of 191, 994, 689, 712, 257
• LCM of 252, 663, 449, 567, 935

1. What is the LCM of 174, 207, 330, 474, 442?

Answer: LCM of 174, 207, 330, 474, 442 is 11528701470.

2. How to calculate the LCM of 174, 207, 330, 474, 442?

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 174, 207, 330, 474, 442.

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}.