Given numbers are 330,540,759,466,614

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

The LCM of 330,540,759,466,614 is 9772565220.

Find LCM of 330,540,759,466,614 with Prime Factorization

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

2 x 3 x 5 x 11 x 1 x 18 x 23 x 233 x 307 = 9772565220

Therefore, the lowest common multiple of 330,540,759,466,614 is 9772565220.

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 540 x 759 x 466 x 614 = 38699358271200

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

759 : 1, 3, 11, 23, 33, 69, 253, 759

466 : 1, 2, 233, 466

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,540,759,466,614, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

540:2x 2x 3x 3x 3x 5

759:3x 11x 23

466:2x 233

614:2x 307

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 11 = 3960

Therefore, the value for common factors is 3960.

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 = 38699358271200/(1x3960)

LCM = 38699358271200/3960

LCM = 9772565220

Thus, we can understand that the LCM of 330,540,759,466,614 is 9772565220.

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

• LCM of 358, 892, 487, 358, 555
• LCM of 106, 712, 149, 424, 170
• LCM of 902, 707, 170, 864, 424
• LCM of 752, 352, 852, 725, 725
• LCM of 730, 592, 152, 175, 761

1. What is the LCM of 330, 540, 759, 466, 614?

Answer: LCM of 330, 540, 759, 466, 614 is 9772565220.

2. How to calculate the LCM of 330, 540, 759, 466, 614?

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, 540, 759, 466, 614.

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}.