Given numbers are 362,484,744,816,129

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

The LCM of 362,484,744,816,129 is 23822330928.

Find LCM of 362,484,744,816,129 with Prime Factorization

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

2 x 2 x 2 x 3 x 181 x 121 x 31 x 34 x 43 = 23822330928

Therefore, the lowest common multiple of 362,484,744,816,129 is 23822330928.

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.

362 x 484 x 744 x 816 x 129 = 13721662614528

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.

362 : 1, 2, 181, 362

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,484,744,816,129, is 1.

Now, the common factors can be found like this.

362:2x 181

484:2x 2x 11x 11

744:2x 2x 2x 3x 31

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

129:3x 43

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 13721662614528/(1x576)

LCM = 13721662614528/576

LCM = 23822330928

Thus, we can understand that the LCM of 362,484,744,816,129 is 23822330928.

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

• LCM of 200, 633, 665, 339, 666
• LCM of 821, 589, 282, 833, 846
• LCM of 973, 811, 234, 505, 856
• LCM of 689, 118, 546, 810, 672
• LCM of 489, 662, 421, 743, 253

1. What is the LCM of 362, 484, 744, 816, 129?

Answer: LCM of 362, 484, 744, 816, 129 is 23822330928.

2. How to calculate the LCM of 362, 484, 744, 816, 129?

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 362, 484, 744, 816, 129.

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}.