Given numbers are 426,366,696,682

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

The LCM of 426,366,696,682 is 1027902216.

Find LCM of 426,366,696,682 with Prime Factorization

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

2 x 3 x 71 x 61 x 116 x 341 = 1027902216

Therefore, the lowest common multiple of 426,366,696,682 is 1027902216.

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.

426 x 366 x 696 x 682 = 74008959552

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

366 : 1, 2, 3, 6, 61, 122, 183, 366

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,366,696,682, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

366:2x 3x 61

696:2x 2x 2x 3x 29

682:2x 11x 31

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 74008959552/(2x36)

LCM = 74008959552/72

LCM = 1027902216

Thus, we can understand that the LCM of 426,366,696,682 is 1027902216.

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

• LCM of 295, 331, 342, 510
• LCM of 186, 893, 908, 499
• LCM of 587, 446, 633, 486
• LCM of 860, 636, 599, 489
• LCM of 116, 309, 150, 824

1. What is the LCM of 426, 366, 696, 682?

Answer: LCM of 426, 366, 696, 682 is 1027902216.

2. How to calculate the LCM of 426, 366, 696, 682?

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 426, 366, 696, 682.

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}.