Given numbers are 107,154,462,528,328

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

The LCM of 107,154,462,528,328 is 16214352.

Find LCM of 107,154,462,528,328 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 107 x 1 x 1 x 2 x 41 = 16214352

Therefore, the lowest common multiple of 107,154,462,528,328 is 16214352.

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 154 x 462 x 528 x 328 = 1318421389824

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,154,462,528,328, is 1.

Now, the common factors can be found like this.

107:107

154:2x 7x 11

462:2x 3x 7x 11

528:2x 2x 2x 2x 3x 11

328:2x 2x 2x 41

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 2x 2x 3x 7x 11x 11 = 81312

Therefore, the value for common factors is 81312.

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 = 1318421389824/(1x81312)

LCM = 1318421389824/81312

LCM = 16214352

Thus, we can understand that the LCM of 107,154,462,528,328 is 16214352.

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

• LCM of 796, 105, 257, 103, 514
• LCM of 621, 404, 140, 371, 574
• LCM of 976, 815, 955, 586, 460
• LCM of 972, 941, 222, 917, 109
• LCM of 469, 815, 701, 463, 132

1. What is the LCM of 107, 154, 462, 528, 328?

Answer: LCM of 107, 154, 462, 528, 328 is 16214352.

2. How to calculate the LCM of 107, 154, 462, 528, 328?

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, 154, 462, 528, 328.

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}.