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LCM of 566, 173, 865

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


Find the LCM of 566, 173, 865 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 566, 173, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,173,865

Given numbers are 566,173,865

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

The LCM of 566,173,865 is 489590.

Find LCM of 566,173,865 with Prime Factorization


173 566, 173, 865
566, 1, 5

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

173 x 566 x 1 x 5 = 489590

Therefore, the lowest common multiple of 566,173,865 is 489590.

LCM Formula to Find Lowest Common Multiple of 566,173,865

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.

566 x 173 x 865 = 84699070

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.

566 : 1, 2, 283, 566

173 : 1, 173

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,173,865, is 1.

Now, the common factors can be found like this.

566:2x 283

173:173

865:5x 173

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

173 = 173

Therefore, the value for common factors is 173.

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 = 84699070/(1x173)

LCM = 84699070/173

LCM = 489590

Thus, we can understand that the LCM of 566,173,865 is 489590.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 566, 173, 865

1. What is the LCM of 566, 173, 865?

Answer: LCM of 566, 173, 865 is 489590.

2. How to calculate the LCM of 566, 173, 865?

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 566, 173, 865.

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}.