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LCM of 808, 782, 612, 458

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


Find the LCM of 808, 782, 612, 458 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 808, 782, 612, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,782,612,458

Given numbers are 808,782,612,458

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

The LCM of 808,782,612,458 is 651127608.

Find LCM of 808,782,612,458 with Prime Factorization


2 808, 782, 612, 458
2 404, 391, 306, 229
17 202, 391, 153, 229
202, 23, 9, 229

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

2 x 2 x 17 x 202 x 23 x 9 x 229 = 651127608

Therefore, the lowest common multiple of 808,782,612,458 is 651127608.

LCM Formula to Find Lowest Common Multiple of 808,782,612,458

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.

808 x 782 x 612 x 458 = 177106709376

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

782 : 1, 2, 17, 23, 34, 46, 391, 782

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,782,612,458, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

782:2x 17x 23

612:2x 2x 3x 3x 17

458:2x 229

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 17 = 136

Therefore, the value for common factors is 136.

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 = 177106709376/(2x136)

LCM = 177106709376/272

LCM = 651127608

Thus, we can understand that the LCM of 808,782,612,458 is 651127608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 782, 612, 458

1. What is the LCM of 808, 782, 612, 458?

Answer: LCM of 808, 782, 612, 458 is 651127608.

2. How to calculate the LCM of 808, 782, 612, 458?

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 808, 782, 612, 458.

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}.