Given numbers are 201,182,250,360,986

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

The LCM of 201,182,250,360,986 is 27052389000.

Find LCM of 201,182,250,360,986 with Prime Factorization

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

2 x 3 x 5 x 67 x 91 x 25 x 12 x 493 = 27052389000

Therefore, the lowest common multiple of 201,182,250,360,986 is 27052389000.

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.

201 x 182 x 250 x 360 x 986 = 3246286680000

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.

201 : 1, 3, 67, 201

182 : 1, 2, 7, 13, 14, 26, 91, 182

250 : 1, 2, 5, 10, 25, 50, 125, 250

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,182,250,360,986, is 1.

Now, the common factors can be found like this.

201:3x 67

182:2x 7x 13

250:2x 5x 5x 5

360:2x 2x 2x 3x 3x 5

986:2x 17x 29

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 5 = 120

Therefore, the value for common factors is 120.

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 = 3246286680000/(1x120)

LCM = 3246286680000/120

LCM = 27052389000

Thus, we can understand that the LCM of 201,182,250,360,986 is 27052389000.

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

• LCM of 324, 881, 468, 839, 695
• LCM of 458, 842, 566, 101, 150
• LCM of 449, 948, 427, 240, 729
• LCM of 611, 605, 431, 239, 911
• LCM of 754, 966, 144, 916, 216

1. What is the LCM of 201, 182, 250, 360, 986?

Answer: LCM of 201, 182, 250, 360, 986 is 27052389000.

2. How to calculate the LCM of 201, 182, 250, 360, 986?

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 201, 182, 250, 360, 986.

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}.