LCM of 582, 978, 411, 911
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 978, 411, 911 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 582, 978, 411, 911. So, keep reading to learn more.
Given numbers are 582,978,411,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,978,411,911 is 11839940862.
Find LCM of 582,978,411,911 with Prime Factorization
| 2 | 582, 978, 411, 911 |
| 3 | 291, 489, 411, 911 |
| 97, 163, 137, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 163 x 137 x 911 = 11839940862
Therefore, the lowest common multiple of 582,978,411,911 is 11839940862.
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.
582 x 978 x 411 x 911 = 213118935516
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
978 : 1, 2, 3, 6, 163, 326, 489, 978
411 : 1, 3, 137, 411
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,978,411,911, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
978:2x 3x 163
411:3x 137
911:911
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 3 = 18
Therefore, the value for common factors is 18.
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 = 213118935516/(1x18)
LCM = 213118935516/18
LCM = 11839940862
Thus, we can understand that the LCM of 582,978,411,911 is 11839940862.
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FAQs on LCM of 582, 978, 411, 911
1. What is the LCM of 582, 978, 411, 911?
Answer: LCM of 582, 978, 411, 911 is 11839940862.
2. How to calculate the LCM of 582, 978, 411, 911?
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 582, 978, 411, 911.
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}.