Given numbers are 348,826,798,714

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

The LCM of 348,826,798,714 is 46422852.

Find LCM of 348,826,798,714 with Prime Factorization

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

2 x 3 x 7 x 58 x 59 x 19 x 17 = 46422852

Therefore, the lowest common multiple of 348,826,798,714 is 46422852.

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.

348 x 826 x 798 x 714 = 163779821856

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

826 : 1, 2, 7, 14, 59, 118, 413, 826

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,826,798,714, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

826:2x 7x 59

798:2x 3x 7x 19

714:2x 3x 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 3x 3x 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 163779821856/(2x1764)

LCM = 163779821856/3528

LCM = 46422852

Thus, we can understand that the LCM of 348,826,798,714 is 46422852.

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

• LCM of 132, 628, 340, 288
• LCM of 264, 142, 467, 269
• LCM of 578, 650, 969, 146
• LCM of 546, 658, 476, 605
• LCM of 184, 361, 761, 901

1. What is the LCM of 348, 826, 798, 714?

Answer: LCM of 348, 826, 798, 714 is 46422852.

2. How to calculate the LCM of 348, 826, 798, 714?

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 348, 826, 798, 714.

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}.