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LCM of 808, 396, 612, 169

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


Find the LCM of 808, 396, 612, 169 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, 396, 612, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,396,612,169

Given numbers are 808,396,612,169

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

The LCM of 808,396,612,169 is 229817016.

Find LCM of 808,396,612,169 with Prime Factorization


2 808, 396, 612, 169
2 404, 198, 306, 169
3 202, 99, 153, 169
3 202, 33, 51, 169
202, 11, 17, 169

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

2 x 2 x 3 x 3 x 202 x 11 x 17 x 169 = 229817016

Therefore, the lowest common multiple of 808,396,612,169 is 229817016.

LCM Formula to Find Lowest Common Multiple of 808,396,612,169

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 396 x 612 x 169 = 33093650304

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,396,612,169, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

396:2x 2x 3x 3x 11

612:2x 2x 3x 3x 17

169:13x 13

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 33093650304/(1x144)

LCM = 33093650304/144

LCM = 229817016

Thus, we can understand that the LCM of 808,396,612,169 is 229817016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 396, 612, 169

1. What is the LCM of 808, 396, 612, 169?

Answer: LCM of 808, 396, 612, 169 is 229817016.

2. How to calculate the LCM of 808, 396, 612, 169?

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, 396, 612, 169.

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}.