Given numbers are 348,244,414,990

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

The LCM of 348,244,414,990 is 80560260.

Find LCM of 348,244,414,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 29 x 61 x 23 x 55 = 80560260

Therefore, the lowest common multiple of 348,244,414,990 is 80560260.

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 244 x 414 x 990 = 34802032320

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

244 : 1, 2, 4, 61, 122, 244

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,244,414,990, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

244:2x 2x 61

414:2x 3x 3x 23

990:2x 3x 3x 5x 11

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 34802032320/(2x216)

LCM = 34802032320/432

LCM = 80560260

Thus, we can understand that the LCM of 348,244,414,990 is 80560260.

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

• LCM of 795, 559, 385, 530
• LCM of 189, 414, 894, 471
• LCM of 694, 671, 907, 447
• LCM of 768, 488, 555, 761
• LCM of 948, 974, 188, 996

1. What is the LCM of 348, 244, 414, 990?

Answer: LCM of 348, 244, 414, 990 is 80560260.

2. How to calculate the LCM of 348, 244, 414, 990?

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, 244, 414, 990.

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}.