LCM of 822, 548, 605, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 548, 605, 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 822, 548, 605, 384. So, keep reading to learn more.
Given numbers are 822,548,605,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,548,605,384 is 31827840.
Find LCM of 822,548,605,384 with Prime Factorization
| 2 | 822, 548, 605, 384 |
| 2 | 411, 274, 605, 192 |
| 3 | 411, 137, 605, 96 |
| 137 | 137, 137, 605, 32 |
| 1, 1, 605, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 1 x 1 x 605 x 32 = 31827840
Therefore, the lowest common multiple of 822,548,605,384 is 31827840.
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.
822 x 548 x 605 x 384 = 104649937920
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
548 : 1, 2, 4, 137, 274, 548
605 : 1, 5, 11, 55, 121, 605
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,548,605,384, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
548:2x 2x 137
605:5x 11x 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 3x 137 = 3288
Therefore, the value for common factors is 3288.
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 = 104649937920/(1x3288)
LCM = 104649937920/3288
LCM = 31827840
Thus, we can understand that the LCM of 822,548,605,384 is 31827840.
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FAQs on LCM of 822, 548, 605, 384
1. What is the LCM of 822, 548, 605, 384?
Answer: LCM of 822, 548, 605, 384 is 31827840.
2. How to calculate the LCM of 822, 548, 605, 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 822, 548, 605, 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}.