Given numbers are 368,450,895,420,825

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

The LCM of 368,450,895,420,825 is 1141232400.

Find LCM of 368,450,895,420,825 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 92 x 3 x 179 x 7 x 11 = 1141232400

Therefore, the lowest common multiple of 368,450,895,420,825 is 1141232400.

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.

368 x 450 x 895 x 420 x 825 = 51355458000000

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

895 : 1, 5, 179, 895

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,450,895,420,825, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

450:2x 3x 3x 5x 5

895:5x 179

420:2x 2x 3x 5x 7

825:3x 5x 5x 11

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 3x 5x 5x 5x 5 = 45000

Therefore, the value for common factors is 45000.

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 = 51355458000000/(1x45000)

LCM = 51355458000000/45000

LCM = 1141232400

Thus, we can understand that the LCM of 368,450,895,420,825 is 1141232400.

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

• LCM of 331, 369, 306, 216, 433
• LCM of 180, 158, 167, 190, 745
• LCM of 974, 102, 452, 740, 469
• LCM of 531, 376, 892, 577, 863
• LCM of 481, 490, 396, 910, 962

1. What is the LCM of 368, 450, 895, 420, 825?

Answer: LCM of 368, 450, 895, 420, 825 is 1141232400.

2. How to calculate the LCM of 368, 450, 895, 420, 825?

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 368, 450, 895, 420, 825.

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}.