Given numbers are 990,193,460,300,335

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

The LCM of 990,193,460,300,335 is 2944388700.

Find LCM of 990,193,460,300,335 with Prime Factorization

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

2 x 2 x 3 x 5 x 33 x 193 x 23 x 5 x 67 = 2944388700

Therefore, the lowest common multiple of 990,193,460,300,335 is 2944388700.

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.

990 x 193 x 460 x 300 x 335 = 8833166100000

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.

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

193 : 1, 193

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,193,460,300,335, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

193:193

460:2x 2x 5x 23

300:2x 2x 3x 5x 5

335:5x 67

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 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 8833166100000/(1x3000)

LCM = 8833166100000/3000

LCM = 2944388700

Thus, we can understand that the LCM of 990,193,460,300,335 is 2944388700.

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

• LCM of 808, 863, 944, 546, 720
• LCM of 108, 975, 832, 188, 878
• LCM of 169, 701, 211, 131, 490
• LCM of 739, 673, 459, 593, 649
• LCM of 618, 333, 894, 583, 860

1. What is the LCM of 990, 193, 460, 300, 335?

Answer: LCM of 990, 193, 460, 300, 335 is 2944388700.

2. How to calculate the LCM of 990, 193, 460, 300, 335?

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 990, 193, 460, 300, 335.

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}.