Given numbers are 426,566,414,952

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

The LCM of 426,566,414,952 is 3959606952.

Find LCM of 426,566,414,952 with Prime Factorization

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

2 x 3 x 71 x 283 x 69 x 476 = 3959606952

Therefore, the lowest common multiple of 426,566,414,952 is 3959606952.

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 566 x 414 x 952 = 95030566848

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

566 : 1, 2, 283, 566

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,566,414,952, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

566:2x 283

414:2x 3x 3x 23

952:2x 2x 2x 7x 17

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 = 95030566848/(2x12)

LCM = 95030566848/24

LCM = 3959606952

Thus, we can understand that the LCM of 426,566,414,952 is 3959606952.

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

• LCM of 933, 855, 261, 971
• LCM of 954, 898, 301, 516
• LCM of 697, 766, 901, 306
• LCM of 681, 165, 275, 944
• LCM of 225, 699, 939, 603

1. What is the LCM of 426, 566, 414, 952?

Answer: LCM of 426, 566, 414, 952 is 3959606952.

2. How to calculate the LCM of 426, 566, 414, 952?

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, 566, 414, 952.

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}.