Given numbers are 107,275,752,351,614

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

The LCM of 107,275,752,351,614 is 2384403793200.

Find LCM of 107,275,752,351,614 with Prime Factorization

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

2 x 107 x 275 x 376 x 351 x 307 = 2384403793200

Therefore, the lowest common multiple of 107,275,752,351,614 is 2384403793200.

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.

107 x 275 x 752 x 351 x 614 = 4768807586400

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.

107 : 1, 107

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

351 : 1, 3, 9, 13, 27, 39, 117, 351

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,275,752,351,614, is 1.

Now, the common factors can be found like this.

107:107

275:5x 5x 11

752:2x 2x 2x 2x 47

351:3x 3x 3x 13

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 4768807586400/(1x2)

LCM = 4768807586400/2

LCM = 2384403793200

Thus, we can understand that the LCM of 107,275,752,351,614 is 2384403793200.

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

• LCM of 256, 287, 518, 160, 988
• LCM of 295, 760, 228, 975, 297
• LCM of 542, 646, 852, 546, 287
• LCM of 650, 349, 743, 283, 463
• LCM of 943, 223, 612, 554, 819

1. What is the LCM of 107, 275, 752, 351, 614?

Answer: LCM of 107, 275, 752, 351, 614 is 2384403793200.

2. How to calculate the LCM of 107, 275, 752, 351, 614?

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 107, 275, 752, 351, 614.

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}.