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LCM of 162, 589, 860

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


Find the LCM of 162, 589, 860 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 162, 589, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,589,860

Given numbers are 162,589,860

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

The LCM of 162,589,860 is 41029740.

Find LCM of 162,589,860 with Prime Factorization


2 162, 589, 860
81, 589, 430

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

2 x 81 x 589 x 430 = 41029740

Therefore, the lowest common multiple of 162,589,860 is 41029740.

LCM Formula to Find Lowest Common Multiple of 162,589,860

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.

162 x 589 x 860 = 82059480

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.

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

589 : 1, 19, 31, 589

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,589,860, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

589:19x 31

860:2x 2x 5x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 82059480/(1x2)

LCM = 82059480/2

LCM = 41029740

Thus, we can understand that the LCM of 162,589,860 is 41029740.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 162, 589, 860

1. What is the LCM of 162, 589, 860?

Answer: LCM of 162, 589, 860 is 41029740.

2. How to calculate the LCM of 162, 589, 860?

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 162, 589, 860.

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}.