Given numbers are 916,138,442,915,466

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

The LCM of 916,138,442,915,466 is 992641889460.

Find LCM of 916,138,442,915,466 with Prime Factorization

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

2 x 3 x 458 x 23 x 221 x 305 x 233 = 992641889460

Therefore, the lowest common multiple of 916,138,442,915,466 is 992641889460.

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.

916 x 138 x 442 x 915 x 466 = 23823405347040

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.

916 : 1, 2, 4, 229, 458, 916

138 : 1, 2, 3, 6, 23, 46, 69, 138

442 : 1, 2, 13, 17, 26, 34, 221, 442

915 : 1, 3, 5, 15, 61, 183, 305, 915

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,138,442,915,466, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

138:2x 3x 23

442:2x 13x 17

915:3x 5x 61

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 3 = 24

Therefore, the value for common factors is 24.

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 = 23823405347040/(1x24)

LCM = 23823405347040/24

LCM = 992641889460

Thus, we can understand that the LCM of 916,138,442,915,466 is 992641889460.

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

• LCM of 655, 920, 601, 149, 188
• LCM of 237, 348, 654, 592, 172
• LCM of 337, 937, 587, 500, 459
• LCM of 496, 952, 808, 720, 443
• LCM of 668, 300, 623, 466, 425

1. What is the LCM of 916, 138, 442, 915, 466?

Answer: LCM of 916, 138, 442, 915, 466 is 992641889460.

2. How to calculate the LCM of 916, 138, 442, 915, 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 916, 138, 442, 915, 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}.