Given numbers are 438,214,509,466

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

The LCM of 438,214,509,466 is 5558167002.

Find LCM of 438,214,509,466 with Prime Factorization

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

2 x 219 x 107 x 509 x 233 = 5558167002

Therefore, the lowest common multiple of 438,214,509,466 is 5558167002.

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 214 x 509 x 466 = 22232668008

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

214 : 1, 2, 107, 214

509 : 1, 509

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,214,509,466, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

214:2x 107

509:509

466:2x 233

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22232668008/(1x4)

LCM = 22232668008/4

LCM = 5558167002

Thus, we can understand that the LCM of 438,214,509,466 is 5558167002.

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

• LCM of 534, 793, 395, 100
• LCM of 177, 731, 318, 133
• LCM of 185, 211, 501, 711
• LCM of 918, 294, 542, 675
• LCM of 650, 991, 530, 283

1. What is the LCM of 438, 214, 509, 466?

Answer: LCM of 438, 214, 509, 466 is 5558167002.

2. How to calculate the LCM of 438, 214, 509, 466?

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, 214, 509, 466.

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}.