Given numbers are 717,343,240,961,960

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

The LCM of 717,343,240,961,960 is 75628701120.

Find LCM of 717,343,240,961,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 239 x 343 x 1 x 961 x 4 = 75628701120

Therefore, the lowest common multiple of 717,343,240,961,960 is 75628701120.

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.

717 x 343 x 240 x 961 x 960 = 54452664806400

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.

717 : 1, 3, 239, 717

343 : 1, 7, 49, 343

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

961 : 1, 31, 961

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,343,240,961,960, is 1.

Now, the common factors can be found like this.

717:3x 239

343:7x 7x 7

240:2x 2x 2x 2x 3x 5

961:31x 31

960:2x 2x 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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 54452664806400/(1x720)

LCM = 54452664806400/720

LCM = 75628701120

Thus, we can understand that the LCM of 717,343,240,961,960 is 75628701120.

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

• LCM of 136, 997, 264, 160, 372
• LCM of 812, 790, 864, 554, 920
• LCM of 674, 259, 717, 822, 504
• LCM of 906, 724, 511, 401, 494
• LCM of 738, 502, 568, 709, 464

1. What is the LCM of 717, 343, 240, 961, 960?

Answer: LCM of 717, 343, 240, 961, 960 is 75628701120.

2. How to calculate the LCM of 717, 343, 240, 961, 960?

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 717, 343, 240, 961, 960.

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}.