Given numbers are 346,408,275,642,798

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

The LCM of 346,408,275,642,798 is 276232248600.

Find LCM of 346,408,275,642,798 with Prime Factorization

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

2 x 3 x 173 x 68 x 275 x 107 x 133 = 276232248600

Therefore, the lowest common multiple of 346,408,275,642,798 is 276232248600.

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.

346 x 408 x 275 x 642 x 798 = 19888721899200

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.

346 : 1, 2, 173, 346

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

275 : 1, 5, 11, 25, 55, 275

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,408,275,642,798, is 1.

Now, the common factors can be found like this.

346:2x 173

408:2x 2x 2x 3x 17

275:5x 5x 11

642:2x 3x 107

798:2x 3x 7x 19

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 3 = 72

Therefore, the value for common factors is 72.

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 = 19888721899200/(1x72)

LCM = 19888721899200/72

LCM = 276232248600

Thus, we can understand that the LCM of 346,408,275,642,798 is 276232248600.

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

• LCM of 577, 209, 499, 268, 646
• LCM of 880, 746, 883, 491, 909
• LCM of 693, 834, 388, 167, 519
• LCM of 823, 936, 219, 696, 172
• LCM of 547, 154, 777, 880, 442

1. What is the LCM of 346, 408, 275, 642, 798?

Answer: LCM of 346, 408, 275, 642, 798 is 276232248600.

2. How to calculate the LCM of 346, 408, 275, 642, 798?

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 346, 408, 275, 642, 798.

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}.