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LCM of 184, 943, 165, 517

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


Find the LCM of 184, 943, 165, 517 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 184, 943, 165, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 184,943,165,517

Given numbers are 184,943,165,517

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

The LCM of 184,943,165,517 is 58503720.

Find LCM of 184,943,165,517 with Prime Factorization


11 184, 943, 165, 517
23 184, 943, 15, 47
8, 41, 15, 47

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

11 x 23 x 8 x 41 x 15 x 47 = 58503720

Therefore, the lowest common multiple of 184,943,165,517 is 58503720.

LCM Formula to Find Lowest Common Multiple of 184,943,165,517

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.

184 x 943 x 165 x 517 = 14801441160

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.

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

943 : 1, 23, 41, 943

165 : 1, 3, 5, 11, 15, 33, 55, 165

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,943,165,517, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

943:23x 41

165:3x 5x 11

517:11x 47

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

11x 23 = 253

Therefore, the value for common factors is 253.

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 = 14801441160/(1x253)

LCM = 14801441160/253

LCM = 58503720

Thus, we can understand that the LCM of 184,943,165,517 is 58503720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 184, 943, 165, 517

1. What is the LCM of 184, 943, 165, 517?

Answer: LCM of 184, 943, 165, 517 is 58503720.

2. How to calculate the LCM of 184, 943, 165, 517?

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 184, 943, 165, 517.

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}.