LCM of 816, 671, 601, 526, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 671, 601, 526, 990 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 816, 671, 601, 526, 990. So, keep reading to learn more.
Given numbers are 816,671,601,526,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,671,601,526,990 is 1298177741520.
Find LCM of 816,671,601,526,990 with Prime Factorization
| 2 | 816, 671, 601, 526, 990 |
| 3 | 408, 671, 601, 263, 495 |
| 11 | 136, 671, 601, 263, 165 |
| 136, 61, 601, 263, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 136 x 61 x 601 x 263 x 15 = 1298177741520
Therefore, the lowest common multiple of 816,671,601,526,990 is 1298177741520.
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.
816 x 671 x 601 x 526 x 990 = 171359461880640
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
671 : 1, 11, 61, 671
601 : 1, 601
526 : 1, 2, 263, 526
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,671,601,526,990, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
671:11x 61
601:601
526:2x 263
990:2x 3x 3x 5x 11
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 171359461880640/(1x132)
LCM = 171359461880640/132
LCM = 1298177741520
Thus, we can understand that the LCM of 816,671,601,526,990 is 1298177741520.
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FAQs on LCM of 816, 671, 601, 526, 990
1. What is the LCM of 816, 671, 601, 526, 990?
Answer: LCM of 816, 671, 601, 526, 990 is 1298177741520.
2. How to calculate the LCM of 816, 671, 601, 526, 990?
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 816, 671, 601, 526, 990.
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}.