Given numbers are 125,720,336,678,817

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

The LCM of 125,720,336,678,817 is 11632446000.

Find LCM of 125,720,336,678,817 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 25 x 3 x 7 x 113 x 817 = 11632446000

Therefore, the lowest common multiple of 125,720,336,678,817 is 11632446000.

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.

125 x 720 x 336 x 678 x 817 = 16750722240000

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.

125 : 1, 5, 25, 125

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,720,336,678,817, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

720:2x 2x 2x 2x 3x 3x 5

336:2x 2x 2x 2x 3x 7

678:2x 3x 113

817:19x 43

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 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 16750722240000/(1x1440)

LCM = 16750722240000/1440

LCM = 11632446000

Thus, we can understand that the LCM of 125,720,336,678,817 is 11632446000.

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

• LCM of 685, 573, 210, 774, 856
• LCM of 183, 269, 340, 501, 404
• LCM of 284, 629, 332, 524, 212
• LCM of 418, 714, 173, 764, 935
• LCM of 671, 338, 170, 619, 345

1. What is the LCM of 125, 720, 336, 678, 817?

Answer: LCM of 125, 720, 336, 678, 817 is 11632446000.

2. How to calculate the LCM of 125, 720, 336, 678, 817?

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 125, 720, 336, 678, 817.

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}.