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LCM of 808, 185, 850, 238

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


Find the LCM of 808, 185, 850, 238 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, 185, 850, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,185,850,238

Given numbers are 808,185,850,238

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

The LCM of 808,185,850,238 is 88940600.

Find LCM of 808,185,850,238 with Prime Factorization


2 808, 185, 850, 238
5 404, 185, 425, 119
17 404, 37, 85, 119
404, 37, 5, 7

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

2 x 5 x 17 x 404 x 37 x 5 x 7 = 88940600

Therefore, the lowest common multiple of 808,185,850,238 is 88940600.

LCM Formula to Find Lowest Common Multiple of 808,185,850,238

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 185 x 850 x 238 = 30239804000

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

185 : 1, 5, 37, 185

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,185,850,238, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

185:5x 37

850:2x 5x 5x 17

238:2x 7x 17

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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 30239804000/(1x340)

LCM = 30239804000/340

LCM = 88940600

Thus, we can understand that the LCM of 808,185,850,238 is 88940600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 185, 850, 238

1. What is the LCM of 808, 185, 850, 238?

Answer: LCM of 808, 185, 850, 238 is 88940600.

2. How to calculate the LCM of 808, 185, 850, 238?

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, 185, 850, 238.

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}.