Given numbers are 330,654,780,745

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

The LCM of 330,654,780,745 is 139347780.

Find LCM of 330,654,780,745 with Prime Factorization

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

2 x 3 x 5 x 11 x 109 x 26 x 149 = 139347780

Therefore, the lowest common multiple of 330,654,780,745 is 139347780.

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 654 x 780 x 745 = 125413002000

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,654,780,745, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

654:2x 3x 109

780:2x 2x 3x 5x 13

745:5x 149

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 125413002000/(1x900)

LCM = 125413002000/900

LCM = 139347780

Thus, we can understand that the LCM of 330,654,780,745 is 139347780.

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

• LCM of 340, 933, 679, 845
• LCM of 658, 765, 721, 281
• LCM of 979, 142, 512, 232
• LCM of 921, 891, 521, 432
• LCM of 826, 236, 549, 111

1. What is the LCM of 330, 654, 780, 745?

Answer: LCM of 330, 654, 780, 745 is 139347780.

2. How to calculate the LCM of 330, 654, 780, 745?

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, 654, 780, 745.

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}.