Given numbers are 208,628,728,875

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

The LCM of 208,628,728,875 is 28574000.

Find LCM of 208,628,728,875 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 2 x 157 x 1 x 125 = 28574000

Therefore, the lowest common multiple of 208,628,728,875 is 28574000.

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.

208 x 628 x 728 x 875 = 83207488000

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

628 : 1, 2, 4, 157, 314, 628

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

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,628,728,875, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

628:2x 2x 157

728:2x 2x 2x 7x 13

875:5x 5x 5x 7

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 2x 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 83207488000/(1x2912)

LCM = 83207488000/2912

LCM = 28574000

Thus, we can understand that the LCM of 208,628,728,875 is 28574000.

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

• LCM of 174, 760, 699, 292
• LCM of 695, 248, 546, 777
• LCM of 614, 372, 881, 109
• LCM of 712, 165, 611, 614
• LCM of 542, 816, 365, 563

1. What is the LCM of 208, 628, 728, 875?

Answer: LCM of 208, 628, 728, 875 is 28574000.

2. How to calculate the LCM of 208, 628, 728, 875?

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 208, 628, 728, 875.

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}.