LCM of 808, 309, 864, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 309, 864, 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 808, 309, 864, 978. So, keep reading to learn more.
Given numbers are 808,309,864,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,309,864,978 is 1465075296.
Find LCM of 808,309,864,978 with Prime Factorization
| 2 | 808, 309, 864, 978 |
| 2 | 404, 309, 432, 489 |
| 2 | 202, 309, 216, 489 |
| 3 | 101, 309, 108, 489 |
| 101, 103, 36, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 103 x 36 x 163 = 1465075296
Therefore, the lowest common multiple of 808,309,864,978 is 1465075296.
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.
808 x 309 x 864 x 978 = 210970842624
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
309 : 1, 3, 103, 309
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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 808,309,864,978, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
309:3x 103
864:2x 2x 2x 2x 2x 3x 3x 3
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 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 = 210970842624/(1x144)
LCM = 210970842624/144
LCM = 1465075296
Thus, we can understand that the LCM of 808,309,864,978 is 1465075296.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 309, 864, 978
1. What is the LCM of 808, 309, 864, 978?
Answer: LCM of 808, 309, 864, 978 is 1465075296.
2. How to calculate the LCM of 808, 309, 864, 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 808, 309, 864, 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}.