Given numbers are 728,310,701,625

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

The LCM of 728,310,701,625 is 9887605000.

Find LCM of 728,310,701,625 with Prime Factorization

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

2 x 5 x 364 x 31 x 701 x 125 = 9887605000

Therefore, the lowest common multiple of 728,310,701,625 is 9887605000.

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.

728 x 310 x 701 x 625 = 98876050000

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.

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

701 : 1, 701

625 : 1, 5, 25, 125, 625

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,310,701,625, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

310:2x 5x 31

701:701

625:5x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 98876050000/(1x10)

LCM = 98876050000/10

LCM = 9887605000

Thus, we can understand that the LCM of 728,310,701,625 is 9887605000.

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

• LCM of 294, 357, 948, 607
• LCM of 682, 267, 188, 894
• LCM of 158, 788, 876, 563
• LCM of 996, 612, 678, 303
• LCM of 604, 815, 430, 216

1. What is the LCM of 728, 310, 701, 625?

Answer: LCM of 728, 310, 701, 625 is 9887605000.

2. How to calculate the LCM of 728, 310, 701, 625?

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 728, 310, 701, 625.

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}.