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LCM of 814, 247, 173, 351

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


Find the LCM of 814, 247, 173, 351 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 814, 247, 173, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,247,173,351

Given numbers are 814,247,173,351

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

The LCM of 814,247,173,351 is 939141918.

Find LCM of 814,247,173,351 with Prime Factorization


13 814, 247, 173, 351
814, 19, 173, 27

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

13 x 814 x 19 x 173 x 27 = 939141918

Therefore, the lowest common multiple of 814,247,173,351 is 939141918.

LCM Formula to Find Lowest Common Multiple of 814,247,173,351

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.

814 x 247 x 173 x 351 = 12208844934

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

247 : 1, 13, 19, 247

173 : 1, 173

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,247,173,351, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

247:13x 19

173:173

351:3x 3x 3x 13

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 = 12208844934/(1x13)

LCM = 12208844934/13

LCM = 939141918

Thus, we can understand that the LCM of 814,247,173,351 is 939141918.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 247, 173, 351

1. What is the LCM of 814, 247, 173, 351?

Answer: LCM of 814, 247, 173, 351 is 939141918.

2. How to calculate the LCM of 814, 247, 173, 351?

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 814, 247, 173, 351.

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}.