Given numbers are 146,471,816,462,324

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

The LCM of 146,471,816,462,324 is 19443173904.

Find LCM of 146,471,816,462,324 with Prime Factorization

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

2 x 2 x 3 x 73 x 157 x 68 x 77 x 27 = 19443173904

Therefore, the lowest common multiple of 146,471,816,462,324 is 19443173904.

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.

146 x 471 x 816 x 462 x 324 = 8399451126528

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.

146 : 1, 2, 73, 146

471 : 1, 3, 157, 471

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,471,816,462,324, is 1.

Now, the common factors can be found like this.

146:2x 73

471:3x 157

816:2x 2x 2x 2x 3x 17

462:2x 3x 7x 11

324:2x 2x 3x 3x 3x 3

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 8399451126528/(1x432)

LCM = 8399451126528/432

LCM = 19443173904

Thus, we can understand that the LCM of 146,471,816,462,324 is 19443173904.

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

• LCM of 697, 237, 411, 718, 465
• LCM of 309, 746, 400, 356, 180
• LCM of 317, 163, 530, 940, 840
• LCM of 398, 294, 390, 992, 593
• LCM of 996, 980, 193, 414, 406

1. What is the LCM of 146, 471, 816, 462, 324?

Answer: LCM of 146, 471, 816, 462, 324 is 19443173904.

2. How to calculate the LCM of 146, 471, 816, 462, 324?

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 146, 471, 816, 462, 324.

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}.