Given numbers are 456,990,420,225,733

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

The LCM of 456,990,420,225,733 is 1930282200.

Find LCM of 456,990,420,225,733 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 38 x 11 x 7 x 5 x 733 = 1930282200

Therefore, the lowest common multiple of 456,990,420,225,733 is 1930282200.

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.

456 x 990 x 420 x 225 x 733 = 31270571640000

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

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

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,990,420,225,733, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

990:2x 3x 3x 5x 11

420:2x 2x 3x 5x 7

225:3x 3x 5x 5

733:733

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 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 31270571640000/(1x16200)

LCM = 31270571640000/16200

LCM = 1930282200

Thus, we can understand that the LCM of 456,990,420,225,733 is 1930282200.

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

• LCM of 282, 197, 111, 669, 643
• LCM of 116, 344, 933, 489, 921
• LCM of 438, 113, 178, 944, 945
• LCM of 447, 790, 246, 391, 699
• LCM of 993, 762, 670, 245, 668

1. What is the LCM of 456, 990, 420, 225, 733?

Answer: LCM of 456, 990, 420, 225, 733 is 1930282200.

2. How to calculate the LCM of 456, 990, 420, 225, 733?

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 456, 990, 420, 225, 733.

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}.