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LCM of 199, 958, 213, 230, 664

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


Find the LCM of 199, 958, 213, 230, 664 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, 958, 213, 230, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,958,213,230,664

Given numbers are 199,958,213,230,664

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

The LCM of 199,958,213,230,664 is 1550365562280.

Find LCM of 199,958,213,230,664 with Prime Factorization


2 199, 958, 213, 230, 664
199, 479, 213, 115, 332

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

2 x 199 x 479 x 213 x 115 x 332 = 1550365562280

Therefore, the lowest common multiple of 199,958,213,230,664 is 1550365562280.

LCM Formula to Find Lowest Common Multiple of 199,958,213,230,664

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 958 x 213 x 230 x 664 = 6201462249120

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

958 : 1, 2, 479, 958

213 : 1, 3, 71, 213

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

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,958,213,230,664, is 1.

Now, the common factors can be found like this.

199:199

958:2x 479

213:3x 71

230:2x 5x 23

664:2x 2x 2x 83

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 = 6201462249120/(1x4)

LCM = 6201462249120/4

LCM = 1550365562280

Thus, we can understand that the LCM of 199,958,213,230,664 is 1550365562280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 958, 213, 230, 664

1. What is the LCM of 199, 958, 213, 230, 664?

Answer: LCM of 199, 958, 213, 230, 664 is 1550365562280.

2. How to calculate the LCM of 199, 958, 213, 230, 664?

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, 958, 213, 230, 664.

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}.