LCM of 590, 982, 192, 792, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 982, 192, 792, 384 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 590, 982, 192, 792, 384. So, keep reading to learn more.
Given numbers are 590,982,192,792,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,982,192,792,384 is 1835475840.
Find LCM of 590,982,192,792,384 with Prime Factorization
| 2 | 590, 982, 192, 792, 384 |
| 2 | 295, 491, 96, 396, 192 |
| 2 | 295, 491, 48, 198, 96 |
| 2 | 295, 491, 24, 99, 48 |
| 2 | 295, 491, 12, 99, 24 |
| 2 | 295, 491, 6, 99, 12 |
| 3 | 295, 491, 3, 99, 6 |
| 295, 491, 1, 33, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 295 x 491 x 1 x 33 x 2 = 1835475840
Therefore, the lowest common multiple of 590,982,192,792,384 is 1835475840.
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.
590 x 982 x 192 x 792 x 384 = 33831490682880
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
982 : 1, 2, 491, 982
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,982,192,792,384, is 2.
Now, the common factors can be found like this.
590:2x 5x 59
982:2x 491
192:2x 2x 2x 2x 2x 2x 3
792:2x 2x 2x 3x 3x 11
384:2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 33831490682880/(2x9216)
LCM = 33831490682880/18432
LCM = 1835475840
Thus, we can understand that the LCM of 590,982,192,792,384 is 1835475840.
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FAQs on LCM of 590, 982, 192, 792, 384
1. What is the LCM of 590, 982, 192, 792, 384?
Answer: LCM of 590, 982, 192, 792, 384 is 1835475840.
2. How to calculate the LCM of 590, 982, 192, 792, 384?
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 590, 982, 192, 792, 384.
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}.