LCM of 860, 978, 808, 866, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 978, 808, 866, 860 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 860, 978, 808, 866, 860. So, keep reading to learn more.
Given numbers are 860,978,808,866,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,978,808,866,860 is 36782951640.
Find LCM of 860,978,808,866,860 with Prime Factorization
| 2 | 860, 978, 808, 866, 860 |
| 2 | 430, 489, 404, 433, 430 |
| 5 | 215, 489, 202, 433, 215 |
| 43 | 43, 489, 202, 433, 43 |
| 1, 489, 202, 433, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 1 x 489 x 202 x 433 x 1 = 36782951640
Therefore, the lowest common multiple of 860,978,808,866,860 is 36782951640.
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.
860 x 978 x 808 x 866 x 860 = 506133414566400
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
978 : 1, 2, 3, 6, 163, 326, 489, 978
808 : 1, 2, 4, 8, 101, 202, 404, 808
866 : 1, 2, 433, 866
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,978,808,866,860, is 2.
Now, the common factors can be found like this.
860:2x 2x 5x 43
978:2x 3x 163
808:2x 2x 2x 101
866:2x 433
860:2x 2x 5x 43
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 5x 43 = 6880
Therefore, the value for common factors is 6880.
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 = 506133414566400/(2x6880)
LCM = 506133414566400/13760
LCM = 36782951640
Thus, we can understand that the LCM of 860,978,808,866,860 is 36782951640.
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FAQs on LCM of 860, 978, 808, 866, 860
1. What is the LCM of 860, 978, 808, 866, 860?
Answer: LCM of 860, 978, 808, 866, 860 is 36782951640.
2. How to calculate the LCM of 860, 978, 808, 866, 860?
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 860, 978, 808, 866, 860.
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}.