Given numbers are 330,270,120,334,240

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

The LCM of 330,270,120,334,240 is 3967920.

Find LCM of 330,270,120,334,240 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 9 x 1 x 167 x 2 = 3967920

Therefore, the lowest common multiple of 330,270,120,334,240 is 3967920.

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.

330 x 270 x 120 x 334 x 240 = 857070720000

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

334 : 1, 2, 167, 334

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,270,120,334,240, is 2.

Now, the common factors can be found like this.

330:2x 3x 5x 11

270:2x 3x 3x 3x 5

120:2x 2x 2x 3x 5

334:2x 167

240:2x 2x 2x 2x 3x 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 3x 5x 5x 5 = 108000

Therefore, the value for common factors is 108000.

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 = 857070720000/(2x108000)

LCM = 857070720000/216000

LCM = 3967920

Thus, we can understand that the LCM of 330,270,120,334,240 is 3967920.

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

• LCM of 298, 942, 561, 240, 452
• LCM of 251, 732, 898, 952, 878
• LCM of 832, 520, 558, 866, 155
• LCM of 771, 352, 878, 131, 774
• LCM of 362, 786, 990, 407, 969

1. What is the LCM of 330, 270, 120, 334, 240?

Answer: LCM of 330, 270, 120, 334, 240 is 3967920.

2. How to calculate the LCM of 330, 270, 120, 334, 240?

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 330, 270, 120, 334, 240.

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}.