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LCM of 290, 468, 240, 338, 206

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


Find the LCM of 290, 468, 240, 338, 206 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 290, 468, 240, 338, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 290,468,240,338,206

Given numbers are 290,468,240,338,206

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

The LCM of 290,468,240,338,206 is 363458160.

Find LCM of 290,468,240,338,206 with Prime Factorization


2 290, 468, 240, 338, 206
2 145, 234, 120, 169, 103
3 145, 117, 60, 169, 103
5 145, 39, 20, 169, 103
13 29, 39, 4, 169, 103
29, 3, 4, 13, 103

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

2 x 2 x 3 x 5 x 13 x 29 x 3 x 4 x 13 x 103 = 363458160

Therefore, the lowest common multiple of 290,468,240,338,206 is 363458160.

LCM Formula to Find Lowest Common Multiple of 290,468,240,338,206

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.

290 x 468 x 240 x 338 x 206 = 2267978918400

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

338 : 1, 2, 13, 26, 169, 338

206 : 1, 2, 103, 206

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,468,240,338,206, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

468:2x 2x 3x 3x 13

240:2x 2x 2x 2x 3x 5

338:2x 13x 13

206:2x 103

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 2x 2x 3x 5x 13 = 3120

Therefore, the value for common factors is 3120.

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 = 2267978918400/(2x3120)

LCM = 2267978918400/6240

LCM = 363458160

Thus, we can understand that the LCM of 290,468,240,338,206 is 363458160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 290, 468, 240, 338, 206

1. What is the LCM of 290, 468, 240, 338, 206?

Answer: LCM of 290, 468, 240, 338, 206 is 363458160.

2. How to calculate the LCM of 290, 468, 240, 338, 206?

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 290, 468, 240, 338, 206.

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}.