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LCM of 179, 184, 422, 499, 516

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


Find the LCM of 179, 184, 422, 499, 516 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 179, 184, 422, 499, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 179,184,422,499,516

Given numbers are 179,184,422,499,516

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

The LCM of 179,184,422,499,516 is 447346007016.

Find LCM of 179,184,422,499,516 with Prime Factorization


2 179, 184, 422, 499, 516
2 179, 92, 211, 499, 258
179, 46, 211, 499, 129

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

2 x 2 x 179 x 46 x 211 x 499 x 129 = 447346007016

Therefore, the lowest common multiple of 179,184,422,499,516 is 447346007016.

LCM Formula to Find Lowest Common Multiple of 179,184,422,499,516

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.

179 x 184 x 422 x 499 x 516 = 3578768056128

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.

179 : 1, 179

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

422 : 1, 2, 211, 422

499 : 1, 499

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,184,422,499,516, is 1.

Now, the common factors can be found like this.

179:179

184:2x 2x 2x 23

422:2x 211

499:499

516:2x 2x 3x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3578768056128/(1x8)

LCM = 3578768056128/8

LCM = 447346007016

Thus, we can understand that the LCM of 179,184,422,499,516 is 447346007016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 179, 184, 422, 499, 516

1. What is the LCM of 179, 184, 422, 499, 516?

Answer: LCM of 179, 184, 422, 499, 516 is 447346007016.

2. How to calculate the LCM of 179, 184, 422, 499, 516?

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 179, 184, 422, 499, 516.

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}.