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LCM of 341, 319, 559, 167

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


Find the LCM of 341, 319, 559, 167 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 341, 319, 559, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,319,559,167

Given numbers are 341,319,559,167

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

The LCM of 341,319,559,167 is 923167817.

Find LCM of 341,319,559,167 with Prime Factorization


11 341, 319, 559, 167
31, 29, 559, 167

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

11 x 31 x 29 x 559 x 167 = 923167817

Therefore, the lowest common multiple of 341,319,559,167 is 923167817.

LCM Formula to Find Lowest Common Multiple of 341,319,559,167

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.

341 x 319 x 559 x 167 = 10154845987

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.

341 : 1, 11, 31, 341

319 : 1, 11, 29, 319

559 : 1, 13, 43, 559

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,319,559,167, is 1.

Now, the common factors can be found like this.

341:11x 31

319:11x 29

559:13x 43

167:167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 10154845987/(1x11)

LCM = 10154845987/11

LCM = 923167817

Thus, we can understand that the LCM of 341,319,559,167 is 923167817.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 319, 559, 167

1. What is the LCM of 341, 319, 559, 167?

Answer: LCM of 341, 319, 559, 167 is 923167817.

2. How to calculate the LCM of 341, 319, 559, 167?

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 341, 319, 559, 167.

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}.