LCM of 822, 608, 798, 933, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 608, 798, 933, 534 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, 608, 798, 933, 534. So, keep reading to learn more.
Given numbers are 822,608,798,933,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,608,798,933,534 is 48416549664.
Find LCM of 822,608,798,933,534 with Prime Factorization
| 2 | 822, 608, 798, 933, 534 |
| 3 | 411, 304, 399, 933, 267 |
| 19 | 137, 304, 133, 311, 89 |
| 137, 16, 7, 311, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 137 x 16 x 7 x 311 x 89 = 48416549664
Therefore, the lowest common multiple of 822,608,798,933,534 is 48416549664.
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 608 x 798 x 933 x 534 = 198701519821056
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
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
933 : 1, 3, 311, 933
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,608,798,933,534, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
608:2x 2x 2x 2x 2x 19
798:2x 3x 7x 19
933:3x 311
534:2x 3x 89
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 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 198701519821056/(1x4104)
LCM = 198701519821056/4104
LCM = 48416549664
Thus, we can understand that the LCM of 822,608,798,933,534 is 48416549664.
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FAQs on LCM of 822, 608, 798, 933, 534
1. What is the LCM of 822, 608, 798, 933, 534?
Answer: LCM of 822, 608, 798, 933, 534 is 48416549664.
2. How to calculate the LCM of 822, 608, 798, 933, 534?
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, 608, 798, 933, 534.
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}.