Given numbers are 717,672,733,968,361

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

The LCM of 717,672,733,968,361 is 5142374729184.

Find LCM of 717,672,733,968,361 with Prime Factorization

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

2 x 2 x 2 x 3 x 239 x 28 x 733 x 121 x 361 = 5142374729184

Therefore, the lowest common multiple of 717,672,733,968,361 is 5142374729184.

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 672 x 733 x 968 x 361 = 123416993500416

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

733 : 1, 733

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,672,733,968,361, is 1.

Now, the common factors can be found like this.

717:3x 239

672:2x 2x 2x 2x 2x 3x 7

733:733

968:2x 2x 2x 11x 11

361:19x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 123416993500416/(1x24)

LCM = 123416993500416/24

LCM = 5142374729184

Thus, we can understand that the LCM of 717,672,733,968,361 is 5142374729184.

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

• LCM of 198, 850, 215, 732, 710
• LCM of 450, 776, 180, 601, 330
• LCM of 223, 611, 385, 755, 196
• LCM of 646, 187, 826, 377, 990
• LCM of 721, 171, 426, 886, 938

1. What is the LCM of 717, 672, 733, 968, 361?

Answer: LCM of 717, 672, 733, 968, 361 is 5142374729184.

2. How to calculate the LCM of 717, 672, 733, 968, 361?

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, 672, 733, 968, 361.

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}.