LCM of 184, 726, 633, 182, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 726, 633, 182, 132 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, 726, 633, 182, 132. So, keep reading to learn more.
Given numbers are 184,726,633,182,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,726,633,182,132 is 1282473192.
Find LCM of 184,726,633,182,132 with Prime Factorization
| 2 | 184, 726, 633, 182, 132 |
| 2 | 92, 363, 633, 91, 66 |
| 3 | 46, 363, 633, 91, 33 |
| 11 | 46, 121, 211, 91, 11 |
| 46, 1, 211, 91, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 46 x 1 x 211 x 91 x 11 = 1282473192
Therefore, the lowest common multiple of 184,726,633,182,132 is 1282473192.
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 726 x 633 x 182 x 132 = 2031437536128
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
633 : 1, 3, 211, 633
182 : 1, 2, 7, 13, 14, 26, 91, 182
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,726,633,182,132, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
726:2x 3x 11x 11
633:3x 211
182:2x 7x 13
132:2x 2x 3x 11
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 2x 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 2031437536128/(1x1584)
LCM = 2031437536128/1584
LCM = 1282473192
Thus, we can understand that the LCM of 184,726,633,182,132 is 1282473192.
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FAQs on LCM of 184, 726, 633, 182, 132
1. What is the LCM of 184, 726, 633, 182, 132?
Answer: LCM of 184, 726, 633, 182, 132 is 1282473192.
2. How to calculate the LCM of 184, 726, 633, 182, 132?
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, 726, 633, 182, 132.
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}.