LCM of 997, 990, 786, 120, 587
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 990, 786, 120, 587 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 997, 990, 786, 120, 587. So, keep reading to learn more.
Given numbers are 997,990,786,120,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,990,786,120,587 is 303598583640.
Find LCM of 997,990,786,120,587 with Prime Factorization
| 2 | 997, 990, 786, 120, 587 |
| 3 | 997, 495, 393, 60, 587 |
| 5 | 997, 165, 131, 20, 587 |
| 997, 33, 131, 4, 587 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 997 x 33 x 131 x 4 x 587 = 303598583640
Therefore, the lowest common multiple of 997,990,786,120,587 is 303598583640.
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.
997 x 990 x 786 x 120 x 587 = 54647745055200
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.
997 : 1, 997
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,990,786,120,587, is 1.
Now, the common factors can be found like this.
997:997
990:2x 3x 3x 5x 11
786:2x 3x 131
120:2x 2x 2x 3x 5
587:587
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 54647745055200/(1x180)
LCM = 54647745055200/180
LCM = 303598583640
Thus, we can understand that the LCM of 997,990,786,120,587 is 303598583640.
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FAQs on LCM of 997, 990, 786, 120, 587
1. What is the LCM of 997, 990, 786, 120, 587?
Answer: LCM of 997, 990, 786, 120, 587 is 303598583640.
2. How to calculate the LCM of 997, 990, 786, 120, 587?
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 997, 990, 786, 120, 587.
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}.