LCM of 990, 414, 528, 816, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 414, 528, 816, 977 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 990, 414, 528, 816, 977. So, keep reading to learn more.
Given numbers are 990,414,528,816,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,414,528,816,977 is 3025495440.
Find LCM of 990,414,528,816,977 with Prime Factorization
| 2 | 990, 414, 528, 816, 977 |
| 2 | 495, 207, 264, 408, 977 |
| 2 | 495, 207, 132, 204, 977 |
| 2 | 495, 207, 66, 102, 977 |
| 3 | 495, 207, 33, 51, 977 |
| 3 | 165, 69, 11, 17, 977 |
| 11 | 55, 23, 11, 17, 977 |
| 5, 23, 1, 17, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 11 x 5 x 23 x 1 x 17 x 977 = 3025495440
Therefore, the lowest common multiple of 990,414,528,816,977 is 3025495440.
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.
990 x 414 x 528 x 816 x 977 = 172525851970560
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.
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,414,528,816,977, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
414:2x 3x 3x 23
528:2x 2x 2x 2x 3x 11
816:2x 2x 2x 2x 3x 17
977:977
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 2x 3x 3x 3x 3x 11 = 57024
Therefore, the value for common factors is 57024.
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 = 172525851970560/(1x57024)
LCM = 172525851970560/57024
LCM = 3025495440
Thus, we can understand that the LCM of 990,414,528,816,977 is 3025495440.
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FAQs on LCM of 990, 414, 528, 816, 977
1. What is the LCM of 990, 414, 528, 816, 977?
Answer: LCM of 990, 414, 528, 816, 977 is 3025495440.
2. How to calculate the LCM of 990, 414, 528, 816, 977?
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 990, 414, 528, 816, 977.
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}.