Given numbers are 438,116,566,531,408

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

The LCM of 438,116,566,531,408 is 43265399976.

Find LCM of 438,116,566,531,408 with Prime Factorization

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

2 x 2 x 3 x 73 x 29 x 283 x 177 x 34 = 43265399976

Therefore, the lowest common multiple of 438,116,566,531,408 is 43265399976.

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.

438 x 116 x 566 x 531 x 408 = 6230217596544

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

116 : 1, 2, 4, 29, 58, 116

566 : 1, 2, 283, 566

531 : 1, 3, 9, 59, 177, 531

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,116,566,531,408, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

116:2x 2x 29

566:2x 283

531:3x 3x 59

408:2x 2x 2x 3x 17

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 3 = 144

Therefore, the value for common factors is 144.

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 = 6230217596544/(1x144)

LCM = 6230217596544/144

LCM = 43265399976

Thus, we can understand that the LCM of 438,116,566,531,408 is 43265399976.

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

• LCM of 807, 797, 301, 263, 434
• LCM of 369, 346, 618, 549, 870
• LCM of 583, 498, 684, 849, 953
• LCM of 860, 134, 142, 636, 229
• LCM of 950, 157, 612, 144, 619

1. What is the LCM of 438, 116, 566, 531, 408?

Answer: LCM of 438, 116, 566, 531, 408 is 43265399976.

2. How to calculate the LCM of 438, 116, 566, 531, 408?

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 438, 116, 566, 531, 408.

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}.