Given numbers are 442,728,289,301,702

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

The LCM of 442,728,289,301,702 is 244265112.

Find LCM of 442,728,289,301,702 with Prime Factorization

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

2 x 7 x 13 x 17 x 1 x 4 x 17 x 43 x 27 = 244265112

Therefore, the lowest common multiple of 442,728,289,301,702 is 244265112.

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 728 x 289 x 301 x 702 = 19649662669728

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

289 : 1, 17, 289

301 : 1, 7, 43, 301

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,728,289,301,702, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

728:2x 2x 2x 7x 13

289:17x 17

301:7x 43

702:2x 3x 3x 3x 13

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 7x 13x 13x 17 = 80444

Therefore, the value for common factors is 80444.

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 = 19649662669728/(1x80444)

LCM = 19649662669728/80444

LCM = 244265112

Thus, we can understand that the LCM of 442,728,289,301,702 is 244265112.

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

• LCM of 798, 354, 174, 735, 529
• LCM of 402, 269, 450, 207, 451
• LCM of 459, 420, 147, 473, 784
• LCM of 891, 956, 920, 905, 695
• LCM of 154, 569, 435, 261, 761

1. What is the LCM of 442, 728, 289, 301, 702?

Answer: LCM of 442, 728, 289, 301, 702 is 244265112.

2. How to calculate the LCM of 442, 728, 289, 301, 702?

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, 728, 289, 301, 702.

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}.