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LCM of 683, 442, 589, 230, 749

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


Find the LCM of 683, 442, 589, 230, 749 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 683, 442, 589, 230, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,442,589,230,749

Given numbers are 683,442,589,230,749

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

The LCM of 683,442,589,230,749 is 15315737909290.

Find LCM of 683,442,589,230,749 with Prime Factorization


2 683, 442, 589, 230, 749
683, 221, 589, 115, 749

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

2 x 683 x 221 x 589 x 115 x 749 = 15315737909290

Therefore, the lowest common multiple of 683,442,589,230,749 is 15315737909290.

LCM Formula to Find Lowest Common Multiple of 683,442,589,230,749

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.

683 x 442 x 589 x 230 x 749 = 30631475818580

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.

683 : 1, 683

442 : 1, 2, 13, 17, 26, 34, 221, 442

589 : 1, 19, 31, 589

230 : 1, 2, 5, 10, 23, 46, 115, 230

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,442,589,230,749, is 1.

Now, the common factors can be found like this.

683:683

442:2x 13x 17

589:19x 31

230:2x 5x 23

749:7x 107

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 = 30631475818580/(1x2)

LCM = 30631475818580/2

LCM = 15315737909290

Thus, we can understand that the LCM of 683,442,589,230,749 is 15315737909290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 442, 589, 230, 749

1. What is the LCM of 683, 442, 589, 230, 749?

Answer: LCM of 683, 442, 589, 230, 749 is 15315737909290.

2. How to calculate the LCM of 683, 442, 589, 230, 749?

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 683, 442, 589, 230, 749.

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}.