Given numbers are 680,267,371,617,745

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

The LCM of 680,267,371,617,745 is 6192492883080.

Find LCM of 680,267,371,617,745 with Prime Factorization

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

5 x 136 x 267 x 371 x 617 x 149 = 6192492883080

Therefore, the lowest common multiple of 680,267,371,617,745 is 6192492883080.

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.

680 x 267 x 371 x 617 x 745 = 30962464415400

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

267 : 1, 3, 89, 267

371 : 1, 7, 53, 371

617 : 1, 617

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,267,371,617,745, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

267:3x 89

371:7x 53

617:617

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 30962464415400/(1x5)

LCM = 30962464415400/5

LCM = 6192492883080

Thus, we can understand that the LCM of 680,267,371,617,745 is 6192492883080.

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

• LCM of 470, 343, 817, 865, 513
• LCM of 371, 105, 444, 241, 402
• LCM of 495, 986, 541, 837, 694
• LCM of 454, 271, 443, 394, 291
• LCM of 242, 177, 985, 973, 218

1. What is the LCM of 680, 267, 371, 617, 745?

Answer: LCM of 680, 267, 371, 617, 745 is 6192492883080.

2. How to calculate the LCM of 680, 267, 371, 617, 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 680, 267, 371, 617, 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}.