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LCM of 206, 824, 169, 406

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


Find the LCM of 206, 824, 169, 406 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 206, 824, 169, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,824,169,406

Given numbers are 206,824,169,406

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

The LCM of 206,824,169,406 is 28268968.

Find LCM of 206,824,169,406 with Prime Factorization


2 206, 824, 169, 406
103 103, 412, 169, 203
1, 4, 169, 203

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

2 x 103 x 1 x 4 x 169 x 203 = 28268968

Therefore, the lowest common multiple of 206,824,169,406 is 28268968.

LCM Formula to Find Lowest Common Multiple of 206,824,169,406

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.

206 x 824 x 169 x 406 = 11646814816

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.

206 : 1, 2, 103, 206

824 : 1, 2, 4, 8, 103, 206, 412, 824

169 : 1, 13, 169

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,824,169,406, is 1.

Now, the common factors can be found like this.

206:2x 103

824:2x 2x 2x 103

169:13x 13

406:2x 7x 29

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 103 = 412

Therefore, the value for common factors is 412.

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 = 11646814816/(1x412)

LCM = 11646814816/412

LCM = 28268968

Thus, we can understand that the LCM of 206,824,169,406 is 28268968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 824, 169, 406

1. What is the LCM of 206, 824, 169, 406?

Answer: LCM of 206, 824, 169, 406 is 28268968.

2. How to calculate the LCM of 206, 824, 169, 406?

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 206, 824, 169, 406.

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}.