Given numbers are 442,408,364,741,622

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

The LCM of 442,408,364,741,622 is 219389352.

Find LCM of 442,408,364,741,622 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 1 x 2 x 7 x 19 x 311 = 219389352

Therefore, the lowest common multiple of 442,408,364,741,622 is 219389352.

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.

442 x 408 x 364 x 741 x 622 = 30254669198208

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.

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

741 : 1, 3, 13, 19, 39, 57, 247, 741

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,408,364,741,622, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

408:2x 2x 2x 3x 17

364:2x 2x 7x 13

741:3x 13x 19

622:2x 311

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 13x 13x 17 = 137904

Therefore, the value for common factors is 137904.

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 = 30254669198208/(1x137904)

LCM = 30254669198208/137904

LCM = 219389352

Thus, we can understand that the LCM of 442,408,364,741,622 is 219389352.

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

• LCM of 262, 345, 177, 631, 817
• LCM of 167, 910, 934, 458, 113
• LCM of 306, 745, 375, 320, 754
• LCM of 290, 736, 394, 930, 367
• LCM of 924, 260, 860, 462, 288

1. What is the LCM of 442, 408, 364, 741, 622?

Answer: LCM of 442, 408, 364, 741, 622 is 219389352.

2. How to calculate the LCM of 442, 408, 364, 741, 622?

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 442, 408, 364, 741, 622.

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}.