Given numbers are 360,610,447,225,982

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

The LCM of 360,610,447,225,982 is 8032858200.

Find LCM of 360,610,447,225,982 with Prime Factorization

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

2 x 3 x 3 x 5 x 4 x 61 x 149 x 5 x 491 = 8032858200

Therefore, the lowest common multiple of 360,610,447,225,982 is 8032858200.

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.

360 x 610 x 447 x 225 x 982 = 21688717140000

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.

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

447 : 1, 3, 149, 447

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,610,447,225,982, is 1.

Now, the common factors can be found like this.

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

610:2x 5x 61

447:3x 149

225:3x 3x 5x 5

982:2x 491

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 21688717140000/(1x2700)

LCM = 21688717140000/2700

LCM = 8032858200

Thus, we can understand that the LCM of 360,610,447,225,982 is 8032858200.

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

• LCM of 397, 936, 409, 840, 915
• LCM of 935, 160, 709, 351, 281
• LCM of 297, 593, 156, 496, 164
• LCM of 861, 455, 242, 159, 276
• LCM of 591, 255, 905, 600, 886

1. What is the LCM of 360, 610, 447, 225, 982?

Answer: LCM of 360, 610, 447, 225, 982 is 8032858200.

2. How to calculate the LCM of 360, 610, 447, 225, 982?

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 360, 610, 447, 225, 982.

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}.