LCM of 808, 164, 544, 978, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 164, 544, 978, 586 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, 164, 544, 978, 586. So, keep reading to learn more.
Given numbers are 808,164,544,978,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,164,544,978,586 is 322760671008.
Find LCM of 808,164,544,978,586 with Prime Factorization
| 2 | 808, 164, 544, 978, 586 |
| 2 | 404, 82, 272, 489, 293 |
| 2 | 202, 41, 136, 489, 293 |
| 101, 41, 68, 489, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 41 x 68 x 489 x 293 = 322760671008
Therefore, the lowest common multiple of 808,164,544,978,586 is 322760671008.
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 164 x 544 x 978 x 586 = 41313365889024
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
164 : 1, 2, 4, 41, 82, 164
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
978 : 1, 2, 3, 6, 163, 326, 489, 978
586 : 1, 2, 293, 586
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,164,544,978,586, is 2.
Now, the common factors can be found like this.
808:2x 2x 2x 101
164:2x 2x 41
544:2x 2x 2x 2x 2x 17
978:2x 3x 163
586:2x 293
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 2 = 64
Therefore, the value for common factors is 64.
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 = 41313365889024/(2x64)
LCM = 41313365889024/128
LCM = 322760671008
Thus, we can understand that the LCM of 808,164,544,978,586 is 322760671008.
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FAQs on LCM of 808, 164, 544, 978, 586
1. What is the LCM of 808, 164, 544, 978, 586?
Answer: LCM of 808, 164, 544, 978, 586 is 322760671008.
2. How to calculate the LCM of 808, 164, 544, 978, 586?
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, 164, 544, 978, 586.
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}.