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LCM of 423, 842, 165, 590, 589

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


Find the LCM of 423, 842, 165, 590, 589 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 423, 842, 165, 590, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,842,165,590,589

Given numbers are 423,842,165,590,589

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

The LCM of 423,842,165,590,589 is 680741856630.

Find LCM of 423,842,165,590,589 with Prime Factorization


2 423, 842, 165, 590, 589
3 423, 421, 165, 295, 589
5 141, 421, 55, 295, 589
141, 421, 11, 59, 589

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

2 x 3 x 5 x 141 x 421 x 11 x 59 x 589 = 680741856630

Therefore, the lowest common multiple of 423,842,165,590,589 is 680741856630.

LCM Formula to Find Lowest Common Multiple of 423,842,165,590,589

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.

423 x 842 x 165 x 590 x 589 = 20422255698900

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.

423 : 1, 3, 9, 47, 141, 423

842 : 1, 2, 421, 842

165 : 1, 3, 5, 11, 15, 33, 55, 165

590 : 1, 2, 5, 10, 59, 118, 295, 590

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,842,165,590,589, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

842:2x 421

165:3x 5x 11

590:2x 5x 59

589:19x 31

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 20422255698900/(1x30)

LCM = 20422255698900/30

LCM = 680741856630

Thus, we can understand that the LCM of 423,842,165,590,589 is 680741856630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 842, 165, 590, 589

1. What is the LCM of 423, 842, 165, 590, 589?

Answer: LCM of 423, 842, 165, 590, 589 is 680741856630.

2. How to calculate the LCM of 423, 842, 165, 590, 589?

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 423, 842, 165, 590, 589.

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}.