Given numbers are 682,458,270,966

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

The LCM of 682,458,270,966 is 3394528830.

Find LCM of 682,458,270,966 with Prime Factorization

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

2 x 3 x 341 x 229 x 45 x 161 = 3394528830

Therefore, the lowest common multiple of 682,458,270,966 is 3394528830.

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.

682 x 458 x 270 x 966 = 81468691920

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

458 : 1, 2, 229, 458

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,458,270,966, is 2.

Now, the common factors can be found like this.

682:2x 11x 31

458:2x 229

270:2x 3x 3x 3x 5

966:2x 3x 7x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 81468691920/(2x12)

LCM = 81468691920/24

LCM = 3394528830

Thus, we can understand that the LCM of 682,458,270,966 is 3394528830.

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

• LCM of 141, 892, 962, 765
• LCM of 975, 484, 708, 732
• LCM of 587, 482, 671, 111
• LCM of 137, 853, 160, 127
• LCM of 494, 886, 477, 792

1. What is the LCM of 682, 458, 270, 966?

Answer: LCM of 682, 458, 270, 966 is 3394528830.

2. How to calculate the LCM of 682, 458, 270, 966?

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 682, 458, 270, 966.

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}.