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LCM of 820, 143, 299, 199

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


Find the LCM of 820, 143, 299, 199 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 820, 143, 299, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,143,299,199

Given numbers are 820,143,299,199

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

The LCM of 820,143,299,199 is 536699020.

Find LCM of 820,143,299,199 with Prime Factorization


13 820, 143, 299, 199
820, 11, 23, 199

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

13 x 820 x 11 x 23 x 199 = 536699020

Therefore, the lowest common multiple of 820,143,299,199 is 536699020.

LCM Formula to Find Lowest Common Multiple of 820,143,299,199

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.

820 x 143 x 299 x 199 = 6977087260

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

143 : 1, 11, 13, 143

299 : 1, 13, 23, 299

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,143,299,199, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

143:11x 13

299:13x 23

199:199

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

13 = 13

Therefore, the value for common factors is 13.

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 = 6977087260/(1x13)

LCM = 6977087260/13

LCM = 536699020

Thus, we can understand that the LCM of 820,143,299,199 is 536699020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 143, 299, 199

1. What is the LCM of 820, 143, 299, 199?

Answer: LCM of 820, 143, 299, 199 is 536699020.

2. How to calculate the LCM of 820, 143, 299, 199?

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 820, 143, 299, 199.

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}.