LCM of 184, 312, 345, 978, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 312, 345, 978, 230 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, 312, 345, 978, 230. So, keep reading to learn more.
Given numbers are 184,312,345,978,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,312,345,978,230 is 5848440.
Find LCM of 184,312,345,978,230 with Prime Factorization
| 2 | 184, 312, 345, 978, 230 |
| 2 | 92, 156, 345, 489, 115 |
| 2 | 46, 78, 345, 489, 115 |
| 3 | 23, 39, 345, 489, 115 |
| 5 | 23, 13, 115, 163, 115 |
| 23 | 23, 13, 23, 163, 23 |
| 1, 13, 1, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 1 x 13 x 1 x 163 x 1 = 5848440
Therefore, the lowest common multiple of 184,312,345,978,230 is 5848440.
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 312 x 345 x 978 x 230 = 4455107654400
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
345 : 1, 3, 5, 15, 23, 69, 115, 345
978 : 1, 2, 3, 6, 163, 326, 489, 978
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,312,345,978,230, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
312:2x 2x 2x 3x 13
345:3x 5x 23
978:2x 3x 163
230:2x 5x 23
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 2x 3x 3x 5x 23x 23 = 761760
Therefore, the value for common factors is 761760.
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 = 4455107654400/(1x761760)
LCM = 4455107654400/761760
LCM = 5848440
Thus, we can understand that the LCM of 184,312,345,978,230 is 5848440.
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FAQs on LCM of 184, 312, 345, 978, 230
1. What is the LCM of 184, 312, 345, 978, 230?
Answer: LCM of 184, 312, 345, 978, 230 is 5848440.
2. How to calculate the LCM of 184, 312, 345, 978, 230?
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, 312, 345, 978, 230.
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}.