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LCM of 586, 438, 586, 747, 364

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


Find the LCM of 586, 438, 586, 747, 364 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 586, 438, 586, 747, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,438,586,747,364

Given numbers are 586,438,586,747,364

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

The LCM of 586,438,586,747,364 is 5815840212.

Find LCM of 586,438,586,747,364 with Prime Factorization


2 586, 438, 586, 747, 364
3 293, 219, 293, 747, 182
293 293, 73, 293, 249, 182
1, 73, 1, 249, 182

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

2 x 3 x 293 x 1 x 73 x 1 x 249 x 182 = 5815840212

Therefore, the lowest common multiple of 586,438,586,747,364 is 5815840212.

LCM Formula to Find Lowest Common Multiple of 586,438,586,747,364

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.

586 x 438 x 586 x 747 x 364 = 40896988370784

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.

586 : 1, 2, 293, 586

438 : 1, 2, 3, 6, 73, 146, 219, 438

586 : 1, 2, 293, 586

747 : 1, 3, 9, 83, 249, 747

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,438,586,747,364, is 1.

Now, the common factors can be found like this.

586:2x 293

438:2x 3x 73

586:2x 293

747:3x 3x 83

364:2x 2x 7x 13

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

2x 2x 2x 3x 293 = 7032

Therefore, the value for common factors is 7032.

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 = 40896988370784/(1x7032)

LCM = 40896988370784/7032

LCM = 5815840212

Thus, we can understand that the LCM of 586,438,586,747,364 is 5815840212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 438, 586, 747, 364

1. What is the LCM of 586, 438, 586, 747, 364?

Answer: LCM of 586, 438, 586, 747, 364 is 5815840212.

2. How to calculate the LCM of 586, 438, 586, 747, 364?

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 586, 438, 586, 747, 364.

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}.