LCM of 365, 504, 978, 231, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 504, 978, 231, 370 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 365, 504, 978, 231, 370. So, keep reading to learn more.
Given numbers are 365,504,978,231,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,504,978,231,370 is 12204090360.
Find LCM of 365,504,978,231,370 with Prime Factorization
| 2 | 365, 504, 978, 231, 370 |
| 3 | 365, 252, 489, 231, 185 |
| 5 | 365, 84, 163, 77, 185 |
| 7 | 73, 84, 163, 77, 37 |
| 73, 12, 163, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 73 x 12 x 163 x 11 x 37 = 12204090360
Therefore, the lowest common multiple of 365,504,978,231,370 is 12204090360.
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.
365 x 504 x 978 x 231 x 370 = 15377153853600
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.
365 : 1, 5, 73, 365
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
978 : 1, 2, 3, 6, 163, 326, 489, 978
231 : 1, 3, 7, 11, 21, 33, 77, 231
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,504,978,231,370, is 1.
Now, the common factors can be found like this.
365:5x 73
504:2x 2x 2x 3x 3x 7
978:2x 3x 163
231:3x 7x 11
370:2x 5x 37
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 15377153853600/(1x1260)
LCM = 15377153853600/1260
LCM = 12204090360
Thus, we can understand that the LCM of 365,504,978,231,370 is 12204090360.
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FAQs on LCM of 365, 504, 978, 231, 370
1. What is the LCM of 365, 504, 978, 231, 370?
Answer: LCM of 365, 504, 978, 231, 370 is 12204090360.
2. How to calculate the LCM of 365, 504, 978, 231, 370?
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 365, 504, 978, 231, 370.
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}.