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LCM of 582, 689, 161, 299

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


Find the LCM of 582, 689, 161, 299 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 582, 689, 161, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,689,161,299

Given numbers are 582,689,161,299

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

The LCM of 582,689,161,299 is 64560678.

Find LCM of 582,689,161,299 with Prime Factorization


13 582, 689, 161, 299
23 582, 53, 161, 23
582, 53, 7, 1

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

13 x 23 x 582 x 53 x 7 x 1 = 64560678

Therefore, the lowest common multiple of 582,689,161,299 is 64560678.

LCM Formula to Find Lowest Common Multiple of 582,689,161,299

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.

582 x 689 x 161 x 299 = 19303642722

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

689 : 1, 13, 53, 689

161 : 1, 7, 23, 161

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,689,161,299, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

689:13x 53

161:7x 23

299:13x 23

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 19303642722/(1x299)

LCM = 19303642722/299

LCM = 64560678

Thus, we can understand that the LCM of 582,689,161,299 is 64560678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 689, 161, 299

1. What is the LCM of 582, 689, 161, 299?

Answer: LCM of 582, 689, 161, 299 is 64560678.

2. How to calculate the LCM of 582, 689, 161, 299?

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 582, 689, 161, 299.

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}.