LCM of 184, 667, 321, 797, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 667, 321, 797, 758 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, 667, 321, 797, 758. So, keep reading to learn more.
Given numbers are 184,667,321,797,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,667,321,797,758 is 517390421928.
Find LCM of 184,667,321,797,758 with Prime Factorization
| 2 | 184, 667, 321, 797, 758 |
| 23 | 92, 667, 321, 797, 379 |
| 4, 29, 321, 797, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 4 x 29 x 321 x 797 x 379 = 517390421928
Therefore, the lowest common multiple of 184,667,321,797,758 is 517390421928.
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 667 x 321 x 797 x 758 = 23799959408688
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
667 : 1, 23, 29, 667
321 : 1, 3, 107, 321
797 : 1, 797
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,667,321,797,758, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
667:23x 29
321:3x 107
797:797
758:2x 379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 23799959408688/(1x46)
LCM = 23799959408688/46
LCM = 517390421928
Thus, we can understand that the LCM of 184,667,321,797,758 is 517390421928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 184, 667, 321, 797, 758
1. What is the LCM of 184, 667, 321, 797, 758?
Answer: LCM of 184, 667, 321, 797, 758 is 517390421928.
2. How to calculate the LCM of 184, 667, 321, 797, 758?
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, 667, 321, 797, 758.
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}.