LCM of 990, 217, 814, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 217, 814, 987 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, 217, 814, 987. So, keep reading to learn more.
Given numbers are 990,217,814,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,217,814,987 is 373589370.
Find LCM of 990,217,814,987 with Prime Factorization
| 2 | 990, 217, 814, 987 |
| 3 | 495, 217, 407, 987 |
| 7 | 165, 217, 407, 329 |
| 11 | 165, 31, 407, 47 |
| 15, 31, 37, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 15 x 31 x 37 x 47 = 373589370
Therefore, the lowest common multiple of 990,217,814,987 is 373589370.
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 217 x 814 x 987 = 172598288940
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
217 : 1, 7, 31, 217
814 : 1, 2, 11, 22, 37, 74, 407, 814
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,217,814,987, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
217:7x 31
814:2x 11x 37
987:3x 7x 47
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 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 172598288940/(1x462)
LCM = 172598288940/462
LCM = 373589370
Thus, we can understand that the LCM of 990,217,814,987 is 373589370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 990, 217, 814, 987
1. What is the LCM of 990, 217, 814, 987?
Answer: LCM of 990, 217, 814, 987 is 373589370.
2. How to calculate the LCM of 990, 217, 814, 987?
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, 217, 814, 987.
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}.