LCM of 992, 822, 940, 828, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 822, 940, 828, 257 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 992, 822, 940, 828, 257. So, keep reading to learn more.
Given numbers are 992,822,940,828,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,822,940,828,257 is 1699039870560.
Find LCM of 992,822,940,828,257 with Prime Factorization
| 2 | 992, 822, 940, 828, 257 |
| 2 | 496, 411, 470, 414, 257 |
| 3 | 248, 411, 235, 207, 257 |
| 248, 137, 235, 69, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 248 x 137 x 235 x 69 x 257 = 1699039870560
Therefore, the lowest common multiple of 992,822,940,828,257 is 1699039870560.
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.
992 x 822 x 940 x 828 x 257 = 163107827573760
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
822 : 1, 2, 3, 6, 137, 274, 411, 822
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,822,940,828,257, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
822:2x 3x 137
940:2x 2x 5x 47
828:2x 2x 3x 3x 23
257:257
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 3 = 96
Therefore, the value for common factors is 96.
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 = 163107827573760/(1x96)
LCM = 163107827573760/96
LCM = 1699039870560
Thus, we can understand that the LCM of 992,822,940,828,257 is 1699039870560.
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FAQs on LCM of 992, 822, 940, 828, 257
1. What is the LCM of 992, 822, 940, 828, 257?
Answer: LCM of 992, 822, 940, 828, 257 is 1699039870560.
2. How to calculate the LCM of 992, 822, 940, 828, 257?
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 992, 822, 940, 828, 257.
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}.