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LCM of 300, 465, 586

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


Find the LCM of 300, 465, 586 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 300, 465, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,465,586

Given numbers are 300,465,586

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

The LCM of 300,465,586 is 2724900.

Find LCM of 300,465,586 with Prime Factorization


2 300, 465, 586
3 150, 465, 293
5 50, 155, 293
10, 31, 293

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

2 x 3 x 5 x 10 x 31 x 293 = 2724900

Therefore, the lowest common multiple of 300,465,586 is 2724900.

LCM Formula to Find Lowest Common Multiple of 300,465,586

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.

300 x 465 x 586 = 81747000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

465 : 1, 3, 5, 15, 31, 93, 155, 465

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,465,586, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

465:3x 5x 31

586:2x 293

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 = 81747000/(1x30)

LCM = 81747000/30

LCM = 2724900

Thus, we can understand that the LCM of 300,465,586 is 2724900.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 300, 465, 586

1. What is the LCM of 300, 465, 586?

Answer: LCM of 300, 465, 586 is 2724900.

2. How to calculate the LCM of 300, 465, 586?

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 300, 465, 586.

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}.