Given numbers are 680,756,204,629

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

The LCM of 680,756,204,629 is 4755240.

Find LCM of 680,756,204,629 with Prime Factorization

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

2 x 2 x 3 x 17 x 10 x 63 x 1 x 37 = 4755240

Therefore, the lowest common multiple of 680,756,204,629 is 4755240.

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 756 x 204 x 629 = 65964689280

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,756,204,629, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

756:2x 2x 3x 3x 3x 7

204:2x 2x 3x 17

629:17x 37

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 17x 17 = 13872

Therefore, the value for common factors is 13872.

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 = 65964689280/(1x13872)

LCM = 65964689280/13872

LCM = 4755240

Thus, we can understand that the LCM of 680,756,204,629 is 4755240.

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

• LCM of 206, 971, 698, 830
• LCM of 660, 447, 215, 856
• LCM of 465, 687, 458, 654
• LCM of 647, 866, 297, 135
• LCM of 153, 887, 933, 879

1. What is the LCM of 680, 756, 204, 629?

Answer: LCM of 680, 756, 204, 629 is 4755240.

2. How to calculate the LCM of 680, 756, 204, 629?

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, 756, 204, 629.

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}.