LCM of 822, 444, 652, 820, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 444, 652, 820, 855 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, 444, 652, 820, 855. So, keep reading to learn more.
Given numbers are 822,444,652,820,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,444,652,820,855 is 115856354340.
Find LCM of 822,444,652,820,855 with Prime Factorization
| 2 | 822, 444, 652, 820, 855 |
| 2 | 411, 222, 326, 410, 855 |
| 3 | 411, 111, 163, 205, 855 |
| 5 | 137, 37, 163, 205, 285 |
| 137, 37, 163, 41, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 137 x 37 x 163 x 41 x 57 = 115856354340
Therefore, the lowest common multiple of 822,444,652,820,855 is 115856354340.
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 444 x 652 x 820 x 855 = 166833150249600
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
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
652 : 1, 2, 4, 163, 326, 652
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,444,652,820,855, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
444:2x 2x 3x 37
652:2x 2x 163
820:2x 2x 5x 41
855:3x 3x 5x 19
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 166833150249600/(1x1440)
LCM = 166833150249600/1440
LCM = 115856354340
Thus, we can understand that the LCM of 822,444,652,820,855 is 115856354340.
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FAQs on LCM of 822, 444, 652, 820, 855
1. What is the LCM of 822, 444, 652, 820, 855?
Answer: LCM of 822, 444, 652, 820, 855 is 115856354340.
2. How to calculate the LCM of 822, 444, 652, 820, 855?
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, 444, 652, 820, 855.
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}.