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LCM of 199, 812, 460

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


Find the LCM of 199, 812, 460 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 199, 812, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,812,460

Given numbers are 199,812,460

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

The LCM of 199,812,460 is 18582620.

Find LCM of 199,812,460 with Prime Factorization


2 199, 812, 460
2 199, 406, 230
199, 203, 115

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

2 x 2 x 199 x 203 x 115 = 18582620

Therefore, the lowest common multiple of 199,812,460 is 18582620.

LCM Formula to Find Lowest Common Multiple of 199,812,460

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.

199 x 812 x 460 = 74330480

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.

199 : 1, 199

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,812,460, is 1.

Now, the common factors can be found like this.

199:199

812:2x 2x 7x 29

460:2x 2x 5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 74330480/(1x4)

LCM = 74330480/4

LCM = 18582620

Thus, we can understand that the LCM of 199,812,460 is 18582620.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 199, 812, 460

1. What is the LCM of 199, 812, 460?

Answer: LCM of 199, 812, 460 is 18582620.

2. How to calculate the LCM of 199, 812, 460?

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 199, 812, 460.

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}.