Given numbers are 446,148,380,990,900

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

The LCM of 446,148,380,990,900 is 1552013100.

Find LCM of 446,148,380,990,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 223 x 37 x 19 x 11 x 5 = 1552013100

Therefore, the lowest common multiple of 446,148,380,990,900 is 1552013100.

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.

446 x 148 x 380 x 990 x 900 = 22348988640000

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.

446 : 1, 2, 223, 446

148 : 1, 2, 4, 37, 74, 148

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,148,380,990,900, is 2.

Now, the common factors can be found like this.

446:2x 223

148:2x 2x 37

380:2x 2x 5x 19

990:2x 3x 3x 5x 11

900:2x 2x 3x 3x 5x 5

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 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 22348988640000/(2x7200)

LCM = 22348988640000/14400

LCM = 1552013100

Thus, we can understand that the LCM of 446,148,380,990,900 is 1552013100.

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

• LCM of 613, 577, 804, 706, 920
• LCM of 744, 546, 333, 446, 153
• LCM of 867, 624, 317, 481, 232
• LCM of 821, 570, 820, 490, 965
• LCM of 294, 963, 150, 562, 132

1. What is the LCM of 446, 148, 380, 990, 900?

Answer: LCM of 446, 148, 380, 990, 900 is 1552013100.

2. How to calculate the LCM of 446, 148, 380, 990, 900?

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 446, 148, 380, 990, 900.

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}.