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LCM of 293, 208, 440, 165, 361

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


Find the LCM of 293, 208, 440, 165, 361 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 293, 208, 440, 165, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,208,440,165,361

Given numbers are 293,208,440,165,361

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

The LCM of 293,208,440,165,361 is 3630129360.

Find LCM of 293,208,440,165,361 with Prime Factorization


2 293, 208, 440, 165, 361
2 293, 104, 220, 165, 361
2 293, 52, 110, 165, 361
5 293, 26, 55, 165, 361
11 293, 26, 11, 33, 361
293, 26, 1, 3, 361

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

2 x 2 x 2 x 5 x 11 x 293 x 26 x 1 x 3 x 361 = 3630129360

Therefore, the lowest common multiple of 293,208,440,165,361 is 3630129360.

LCM Formula to Find Lowest Common Multiple of 293,208,440,165,361

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.

293 x 208 x 440 x 165 x 361 = 1597256918400

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.

293 : 1, 293

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

165 : 1, 3, 5, 11, 15, 33, 55, 165

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,208,440,165,361, is 1.

Now, the common factors can be found like this.

293:293

208:2x 2x 2x 2x 13

440:2x 2x 2x 5x 11

165:3x 5x 11

361:19x 19

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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 1597256918400/(1x440)

LCM = 1597256918400/440

LCM = 3630129360

Thus, we can understand that the LCM of 293,208,440,165,361 is 3630129360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 208, 440, 165, 361

1. What is the LCM of 293, 208, 440, 165, 361?

Answer: LCM of 293, 208, 440, 165, 361 is 3630129360.

2. How to calculate the LCM of 293, 208, 440, 165, 361?

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 293, 208, 440, 165, 361.

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}.