Given numbers are 720,217,755,330

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

The LCM of 720,217,755,330 is 259514640.

Find LCM of 720,217,755,330 with Prime Factorization

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

2 x 3 x 5 x 24 x 217 x 151 x 11 = 259514640

Therefore, the lowest common multiple of 720,217,755,330 is 259514640.

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.

720 x 217 x 755 x 330 = 38927196000

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

217 : 1, 7, 31, 217

755 : 1, 5, 151, 755

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,217,755,330, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

217:7x 31

755:5x 151

330:2x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 38927196000/(1x150)

LCM = 38927196000/150

LCM = 259514640

Thus, we can understand that the LCM of 720,217,755,330 is 259514640.

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

• LCM of 371, 838, 587, 650
• LCM of 636, 619, 830, 566
• LCM of 102, 549, 240, 428
• LCM of 730, 403, 994, 655
• LCM of 630, 220, 461, 859

1. What is the LCM of 720, 217, 755, 330?

Answer: LCM of 720, 217, 755, 330 is 259514640.

2. How to calculate the LCM of 720, 217, 755, 330?

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 720, 217, 755, 330.

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}.