LCM of 396, 807, 585, 731, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 807, 585, 731, 978 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 396, 807, 585, 731, 978. So, keep reading to learn more.
Given numbers are 396,807,585,731,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,807,585,731,978 is 825022521180.
Find LCM of 396,807,585,731,978 with Prime Factorization
| 2 | 396, 807, 585, 731, 978 |
| 3 | 198, 807, 585, 731, 489 |
| 3 | 66, 269, 195, 731, 163 |
| 22, 269, 65, 731, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 22 x 269 x 65 x 731 x 163 = 825022521180
Therefore, the lowest common multiple of 396,807,585,731,978 is 825022521180.
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.
396 x 807 x 585 x 731 x 978 = 133653648431160
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
807 : 1, 3, 269, 807
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
731 : 1, 17, 43, 731
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,807,585,731,978, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
807:3x 269
585:3x 3x 5x 13
731:17x 43
978:2x 3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 133653648431160/(1x162)
LCM = 133653648431160/162
LCM = 825022521180
Thus, we can understand that the LCM of 396,807,585,731,978 is 825022521180.
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FAQs on LCM of 396, 807, 585, 731, 978
1. What is the LCM of 396, 807, 585, 731, 978?
Answer: LCM of 396, 807, 585, 731, 978 is 825022521180.
2. How to calculate the LCM of 396, 807, 585, 731, 978?
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 396, 807, 585, 731, 978.
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}.