Given numbers are 802,135,164,284,466

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

The LCM of 802,135,164,284,466 is 146871070020.

Find LCM of 802,135,164,284,466 with Prime Factorization

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

2 x 2 x 401 x 135 x 41 x 71 x 233 = 146871070020

Therefore, the lowest common multiple of 802,135,164,284,466 is 146871070020.

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.

802 x 135 x 164 x 284 x 466 = 2349937120320

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.

802 : 1, 2, 401, 802

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

284 : 1, 2, 4, 71, 142, 284

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,135,164,284,466, is 1.

Now, the common factors can be found like this.

802:2x 401

135:3x 3x 3x 5

164:2x 2x 41

284:2x 2x 71

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 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 2349937120320/(1x16)

LCM = 2349937120320/16

LCM = 146871070020

Thus, we can understand that the LCM of 802,135,164,284,466 is 146871070020.

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

• LCM of 256, 719, 639, 107, 647
• LCM of 992, 758, 316, 783, 653
• LCM of 121, 334, 473, 835, 950
• LCM of 353, 952, 865, 449, 362
• LCM of 116, 186, 150, 306, 174

1. What is the LCM of 802, 135, 164, 284, 466?

Answer: LCM of 802, 135, 164, 284, 466 is 146871070020.

2. How to calculate the LCM of 802, 135, 164, 284, 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 802, 135, 164, 284, 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}.