Given numbers are 348,479,714,642,582

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

The LCM of 348,479,714,642,582 is 205881455892.

Find LCM of 348,479,714,642,582 with Prime Factorization

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

2 x 3 x 58 x 479 x 119 x 107 x 97 = 205881455892

Therefore, the lowest common multiple of 348,479,714,642,582 is 205881455892.

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 479 x 714 x 642 x 582 = 44470394472672

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

479 : 1, 479

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,479,714,642,582, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

479:479

714:2x 3x 7x 17

642:2x 3x 107

582:2x 3x 97

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 = 44470394472672/(1x216)

LCM = 44470394472672/216

LCM = 205881455892

Thus, we can understand that the LCM of 348,479,714,642,582 is 205881455892.

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

• LCM of 908, 461, 116, 374, 622
• LCM of 752, 678, 701, 152, 739
• LCM of 725, 946, 794, 617, 778
• LCM of 861, 494, 754, 183, 147
• LCM of 827, 896, 892, 205, 323

1. What is the LCM of 348, 479, 714, 642, 582?

Answer: LCM of 348, 479, 714, 642, 582 is 205881455892.

2. How to calculate the LCM of 348, 479, 714, 642, 582?

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, 479, 714, 642, 582.

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}.