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LCM of 161, 391, 184, 579

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


Find the LCM of 161, 391, 184, 579 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 161, 391, 184, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,391,184,579

Given numbers are 161,391,184,579

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

The LCM of 161,391,184,579 is 12677784.

Find LCM of 161,391,184,579 with Prime Factorization


23 161, 391, 184, 579
7, 17, 8, 579

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

23 x 7 x 17 x 8 x 579 = 12677784

Therefore, the lowest common multiple of 161,391,184,579 is 12677784.

LCM Formula to Find Lowest Common Multiple of 161,391,184,579

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.

161 x 391 x 184 x 579 = 6706547736

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.

161 : 1, 7, 23, 161

391 : 1, 17, 23, 391

184 : 1, 2, 4, 8, 23, 46, 92, 184

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,391,184,579, is 1.

Now, the common factors can be found like this.

161:7x 23

391:17x 23

184:2x 2x 2x 23

579:3x 193

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

23x 23 = 529

Therefore, the value for common factors is 529.

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 = 6706547736/(1x529)

LCM = 6706547736/529

LCM = 12677784

Thus, we can understand that the LCM of 161,391,184,579 is 12677784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 391, 184, 579

1. What is the LCM of 161, 391, 184, 579?

Answer: LCM of 161, 391, 184, 579 is 12677784.

2. How to calculate the LCM of 161, 391, 184, 579?

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 161, 391, 184, 579.

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}.