Given numbers are 850,214,840,382,185

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

The LCM of 850,214,840,382,185 is 53990466600.

Find LCM of 850,214,840,382,185 with Prime Factorization

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

2 x 5 x 85 x 107 x 84 x 191 x 37 = 53990466600

Therefore, the lowest common multiple of 850,214,840,382,185 is 53990466600.

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 214 x 840 x 382 x 185 = 10798093320000

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

214 : 1, 2, 107, 214

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

382 : 1, 2, 191, 382

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,214,840,382,185, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

214:2x 107

840:2x 2x 2x 3x 5x 7

382:2x 191

185:5x 37

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 10798093320000/(1x200)

LCM = 10798093320000/200

LCM = 53990466600

Thus, we can understand that the LCM of 850,214,840,382,185 is 53990466600.

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

• LCM of 298, 414, 973, 483, 212
• LCM of 762, 916, 686, 580, 628
• LCM of 893, 558, 492, 481, 887
• LCM of 492, 377, 258, 161, 103
• LCM of 404, 645, 346, 847, 992

1. What is the LCM of 850, 214, 840, 382, 185?

Answer: LCM of 850, 214, 840, 382, 185 is 53990466600.

2. How to calculate the LCM of 850, 214, 840, 382, 185?

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, 214, 840, 382, 185.

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}.