Given numbers are 422,726,678,728,713

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

The LCM of 422,726,678,728,713 is 4492503591576.

Find LCM of 422,726,678,728,713 with Prime Factorization

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

2 x 3 x 211 x 121 x 113 x 364 x 713 = 4492503591576

Therefore, the lowest common multiple of 422,726,678,728,713 is 4492503591576.

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.

422 x 726 x 678 x 728 x 713 = 107820086197824

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.

422 : 1, 2, 211, 422

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,726,678,728,713, is 1.

Now, the common factors can be found like this.

422:2x 211

726:2x 3x 11x 11

678:2x 3x 113

728:2x 2x 2x 7x 13

713:23x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 107820086197824/(1x24)

LCM = 107820086197824/24

LCM = 4492503591576

Thus, we can understand that the LCM of 422,726,678,728,713 is 4492503591576.

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

• LCM of 371, 355, 560, 769, 669
• LCM of 656, 251, 101, 737, 345
• LCM of 785, 588, 696, 494, 534
• LCM of 111, 470, 291, 747, 659
• LCM of 623, 953, 108, 559, 178

1. What is the LCM of 422, 726, 678, 728, 713?

Answer: LCM of 422, 726, 678, 728, 713 is 4492503591576.

2. How to calculate the LCM of 422, 726, 678, 728, 713?

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 422, 726, 678, 728, 713.

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}.