LCM of 808, 438, 828, 236, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 438, 828, 236, 567 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, 438, 828, 236, 567. So, keep reading to learn more.
Given numbers are 808,438,828,236,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,438,828,236,567 is 45383410296.
Find LCM of 808,438,828,236,567 with Prime Factorization
| 2 | 808, 438, 828, 236, 567 |
| 2 | 404, 219, 414, 118, 567 |
| 3 | 202, 219, 207, 59, 567 |
| 3 | 202, 73, 69, 59, 189 |
| 202, 73, 23, 59, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 202 x 73 x 23 x 59 x 63 = 45383410296
Therefore, the lowest common multiple of 808,438,828,236,567 is 45383410296.
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 438 x 828 x 236 x 567 = 39211266495744
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
236 : 1, 2, 4, 59, 118, 236
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,438,828,236,567, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
438:2x 3x 73
828:2x 2x 3x 3x 23
236:2x 2x 59
567:3x 3x 3x 3x 7
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 3 = 864
Therefore, the value for common factors is 864.
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 = 39211266495744/(1x864)
LCM = 39211266495744/864
LCM = 45383410296
Thus, we can understand that the LCM of 808,438,828,236,567 is 45383410296.
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FAQs on LCM of 808, 438, 828, 236, 567
1. What is the LCM of 808, 438, 828, 236, 567?
Answer: LCM of 808, 438, 828, 236, 567 is 45383410296.
2. How to calculate the LCM of 808, 438, 828, 236, 567?
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, 438, 828, 236, 567.
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}.