Given numbers are 850,440,730,678,138

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

The LCM of 850,440,730,678,138 is 21287369400.

Find LCM of 850,440,730,678,138 with Prime Factorization

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

2 x 3 x 5 x 85 x 44 x 73 x 113 x 23 = 21287369400

Therefore, the lowest common multiple of 850,440,730,678,138 is 21287369400.

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.

850 x 440 x 730 x 678 x 138 = 25544843280000

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.

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,440,730,678,138, is 2.

Now, the common factors can be found like this.

850:2x 5x 5x 17

440:2x 2x 2x 5x 11

730:2x 5x 73

678:2x 3x 113

138:2x 3x 23

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 25544843280000/(2x600)

LCM = 25544843280000/1200

LCM = 21287369400

Thus, we can understand that the LCM of 850,440,730,678,138 is 21287369400.

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

• LCM of 468, 423, 891, 650, 630
• LCM of 359, 796, 780, 895, 501
• LCM of 378, 287, 413, 821, 856
• LCM of 864, 414, 405, 791, 436
• LCM of 546, 856, 775, 778, 460

1. What is the LCM of 850, 440, 730, 678, 138?

Answer: LCM of 850, 440, 730, 678, 138 is 21287369400.

2. How to calculate the LCM of 850, 440, 730, 678, 138?

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 850, 440, 730, 678, 138.

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}.