LCM of 999, 714, 822, 217, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 714, 822, 217, 633 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 999, 714, 822, 217, 633. So, keep reading to learn more.
Given numbers are 999,714,822,217,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,714,822,217,633 is 213062570154.
Find LCM of 999,714,822,217,633 with Prime Factorization
| 2 | 999, 714, 822, 217, 633 |
| 3 | 999, 357, 411, 217, 633 |
| 7 | 333, 119, 137, 217, 211 |
| 333, 17, 137, 31, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 333 x 17 x 137 x 31 x 211 = 213062570154
Therefore, the lowest common multiple of 999,714,822,217,633 is 213062570154.
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.
999 x 714 x 822 x 217 x 633 = 80537651518212
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
822 : 1, 2, 3, 6, 137, 274, 411, 822
217 : 1, 7, 31, 217
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,714,822,217,633, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
714:2x 3x 7x 17
822:2x 3x 137
217:7x 31
633:3x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 80537651518212/(1x378)
LCM = 80537651518212/378
LCM = 213062570154
Thus, we can understand that the LCM of 999,714,822,217,633 is 213062570154.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 999, 714, 822, 217, 633
1. What is the LCM of 999, 714, 822, 217, 633?
Answer: LCM of 999, 714, 822, 217, 633 is 213062570154.
2. How to calculate the LCM of 999, 714, 822, 217, 633?
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 999, 714, 822, 217, 633.
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}.