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LCM of 486, 668, 384, 310, 856

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 486, 668, 384, 310, 856 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 486, 668, 384, 310, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 486,668,384,310,856

Given numbers are 486,668,384,310,856

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

The LCM of 486,668,384,310,856 is 86148593280.

Find LCM of 486,668,384,310,856 with Prime Factorization


2 486, 668, 384, 310, 856
2 243, 334, 192, 155, 428
2 243, 167, 96, 155, 214
3 243, 167, 48, 155, 107
81, 167, 16, 155, 107

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

2 x 2 x 2 x 3 x 81 x 167 x 16 x 155 x 107 = 86148593280

Therefore, the lowest common multiple of 486,668,384,310,856 is 86148593280.

LCM Formula to Find Lowest Common Multiple of 486,668,384,310,856

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.

486 x 668 x 384 x 310 x 856 = 33081059819520

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

668 : 1, 2, 4, 167, 334, 668

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

310 : 1, 2, 5, 10, 31, 62, 155, 310

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,668,384,310,856, is 2.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

668:2x 2x 167

384:2x 2x 2x 2x 2x 2x 2x 3

310:2x 5x 31

856:2x 2x 2x 107

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 3 = 192

Therefore, the value for common factors is 192.

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 = 33081059819520/(2x192)

LCM = 33081059819520/384

LCM = 86148593280

Thus, we can understand that the LCM of 486,668,384,310,856 is 86148593280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 486, 668, 384, 310, 856

1. What is the LCM of 486, 668, 384, 310, 856?

Answer: LCM of 486, 668, 384, 310, 856 is 86148593280.

2. How to calculate the LCM of 486, 668, 384, 310, 856?

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 486, 668, 384, 310, 856.

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}.