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LCM of 173, 489, 815, 802

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


Find the LCM of 173, 489, 815, 802 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 173, 489, 815, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,489,815,802

Given numbers are 173,489,815,802

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

The LCM of 173,489,815,802 is 339233970.

Find LCM of 173,489,815,802 with Prime Factorization


163 173, 489, 815, 802
173, 3, 5, 802

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

163 x 173 x 3 x 5 x 802 = 339233970

Therefore, the lowest common multiple of 173,489,815,802 is 339233970.

LCM Formula to Find Lowest Common Multiple of 173,489,815,802

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.

173 x 489 x 815 x 802 = 55295137110

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.

173 : 1, 173

489 : 1, 3, 163, 489

815 : 1, 5, 163, 815

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,489,815,802, is 1.

Now, the common factors can be found like this.

173:173

489:3x 163

815:5x 163

802:2x 401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

163 = 163

Therefore, the value for common factors is 163.

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 = 55295137110/(1x163)

LCM = 55295137110/163

LCM = 339233970

Thus, we can understand that the LCM of 173,489,815,802 is 339233970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 489, 815, 802

1. What is the LCM of 173, 489, 815, 802?

Answer: LCM of 173, 489, 815, 802 is 339233970.

2. How to calculate the LCM of 173, 489, 815, 802?

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 173, 489, 815, 802.

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}.