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LCM of 796, 344, 559, 414, 207

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


Find the LCM of 796, 344, 559, 414, 207 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 796, 344, 559, 414, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,344,559,414,207

Given numbers are 796,344,559,414,207

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

The LCM of 796,344,559,414,207 is 184215096.

Find LCM of 796,344,559,414,207 with Prime Factorization


2 796, 344, 559, 414, 207
2 398, 172, 559, 207, 207
3 199, 86, 559, 207, 207
3 199, 86, 559, 69, 69
23 199, 86, 559, 23, 23
43 199, 86, 559, 1, 1
199, 2, 13, 1, 1

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

2 x 2 x 3 x 3 x 23 x 43 x 199 x 2 x 13 x 1 x 1 = 184215096

Therefore, the lowest common multiple of 796,344,559,414,207 is 184215096.

LCM Formula to Find Lowest Common Multiple of 796,344,559,414,207

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.

796 x 344 x 559 x 414 x 207 = 13117588555968

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.

796 : 1, 2, 4, 199, 398, 796

344 : 1, 2, 4, 8, 43, 86, 172, 344

559 : 1, 13, 43, 559

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,344,559,414,207, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

344:2x 2x 2x 43

559:13x 43

414:2x 3x 3x 23

207:3x 3x 23

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 3x 3x 23x 43 = 71208

Therefore, the value for common factors is 71208.

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 = 13117588555968/(1x71208)

LCM = 13117588555968/71208

LCM = 184215096

Thus, we can understand that the LCM of 796,344,559,414,207 is 184215096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 344, 559, 414, 207

1. What is the LCM of 796, 344, 559, 414, 207?

Answer: LCM of 796, 344, 559, 414, 207 is 184215096.

2. How to calculate the LCM of 796, 344, 559, 414, 207?

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 796, 344, 559, 414, 207.

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}.