LCM of 184, 324, 669, 237, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 324, 669, 237, 260 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, 324, 669, 237, 260. So, keep reading to learn more.
Given numbers are 184,324,669,237,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,324,669,237,260 is 17066644920.
Find LCM of 184,324,669,237,260 with Prime Factorization
| 2 | 184, 324, 669, 237, 260 |
| 2 | 92, 162, 669, 237, 130 |
| 3 | 46, 81, 669, 237, 65 |
| 46, 27, 223, 79, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 46 x 27 x 223 x 79 x 65 = 17066644920
Therefore, the lowest common multiple of 184,324,669,237,260 is 17066644920.
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 324 x 669 x 237 x 260 = 2457596868480
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
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
669 : 1, 3, 223, 669
237 : 1, 3, 79, 237
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,324,669,237,260, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
324:2x 2x 3x 3x 3x 3
669:3x 223
237:3x 79
260:2x 2x 5x 13
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 3 = 144
Therefore, the value for common factors is 144.
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 = 2457596868480/(1x144)
LCM = 2457596868480/144
LCM = 17066644920
Thus, we can understand that the LCM of 184,324,669,237,260 is 17066644920.
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FAQs on LCM of 184, 324, 669, 237, 260
1. What is the LCM of 184, 324, 669, 237, 260?
Answer: LCM of 184, 324, 669, 237, 260 is 17066644920.
2. How to calculate the LCM of 184, 324, 669, 237, 260?
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, 324, 669, 237, 260.
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}.