LCM of 684, 184, 132, 305, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 184, 132, 305, 699 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 684, 184, 132, 305, 699. So, keep reading to learn more.
Given numbers are 684,184,132,305,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,184,132,305,699 is 24595880760.
Find LCM of 684,184,132,305,699 with Prime Factorization
| 2 | 684, 184, 132, 305, 699 |
| 2 | 342, 92, 66, 305, 699 |
| 3 | 171, 46, 33, 305, 699 |
| 57, 46, 11, 305, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 57 x 46 x 11 x 305 x 233 = 24595880760
Therefore, the lowest common multiple of 684,184,132,305,699 is 24595880760.
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.
684 x 184 x 132 x 305 x 699 = 3541806829440
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
184 : 1, 2, 4, 8, 23, 46, 92, 184
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
305 : 1, 5, 61, 305
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,184,132,305,699, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
184:2x 2x 2x 23
132:2x 2x 3x 11
305:5x 61
699:3x 233
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 = 3541806829440/(1x144)
LCM = 3541806829440/144
LCM = 24595880760
Thus, we can understand that the LCM of 684,184,132,305,699 is 24595880760.
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FAQs on LCM of 684, 184, 132, 305, 699
1. What is the LCM of 684, 184, 132, 305, 699?
Answer: LCM of 684, 184, 132, 305, 699 is 24595880760.
2. How to calculate the LCM of 684, 184, 132, 305, 699?
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 684, 184, 132, 305, 699.
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}.