LCM of 822, 781, 646, 825, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 781, 646, 825, 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, 781, 646, 825, 384. So, keep reading to learn more.
Given numbers are 822,781,646,825,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,781,646,825,384 is 331776297600.
Find LCM of 822,781,646,825,384 with Prime Factorization
| 2 | 822, 781, 646, 825, 384 |
| 3 | 411, 781, 323, 825, 192 |
| 11 | 137, 781, 323, 275, 64 |
| 137, 71, 323, 25, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 137 x 71 x 323 x 25 x 64 = 331776297600
Therefore, the lowest common multiple of 822,781,646,825,384 is 331776297600.
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 781 x 646 x 825 x 384 = 131383413849600
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
781 : 1, 11, 71, 781
646 : 1, 2, 17, 19, 34, 38, 323, 646
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 822,781,646,825,384, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
781:11x 71
646:2x 17x 19
825:3x 5x 5x 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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 131383413849600/(1x396)
LCM = 131383413849600/396
LCM = 331776297600
Thus, we can understand that the LCM of 822,781,646,825,384 is 331776297600.
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FAQs on LCM of 822, 781, 646, 825, 384
1. What is the LCM of 822, 781, 646, 825, 384?
Answer: LCM of 822, 781, 646, 825, 384 is 331776297600.
2. How to calculate the LCM of 822, 781, 646, 825, 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, 781, 646, 825, 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}.