LCM of 493, 444, 959, 982, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 444, 959, 982, 592 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 493, 444, 959, 982, 592. So, keep reading to learn more.
Given numbers are 493,444,959,982,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,444,959,982,592 is 412277828592.
Find LCM of 493,444,959,982,592 with Prime Factorization
| 2 | 493, 444, 959, 982, 592 |
| 2 | 493, 222, 959, 491, 296 |
| 37 | 493, 111, 959, 491, 148 |
| 493, 3, 959, 491, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 493 x 3 x 959 x 491 x 4 = 412277828592
Therefore, the lowest common multiple of 493,444,959,982,592 is 412277828592.
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.
493 x 444 x 959 x 982 x 592 = 122034237263232
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.
493 : 1, 17, 29, 493
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
959 : 1, 7, 137, 959
982 : 1, 2, 491, 982
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,444,959,982,592, is 1.
Now, the common factors can be found like this.
493:17x 29
444:2x 2x 3x 37
959:7x 137
982:2x 491
592:2x 2x 2x 2x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 122034237263232/(1x296)
LCM = 122034237263232/296
LCM = 412277828592
Thus, we can understand that the LCM of 493,444,959,982,592 is 412277828592.
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FAQs on LCM of 493, 444, 959, 982, 592
1. What is the LCM of 493, 444, 959, 982, 592?
Answer: LCM of 493, 444, 959, 982, 592 is 412277828592.
2. How to calculate the LCM of 493, 444, 959, 982, 592?
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 493, 444, 959, 982, 592.
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}.