LCM of 986, 880, 590, 622, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 880, 590, 622, 667 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 986, 880, 590, 622, 667. So, keep reading to learn more.
Given numbers are 986,880,590,622,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,880,590,622,667 is 183092193680.
Find LCM of 986,880,590,622,667 with Prime Factorization
| 2 | 986, 880, 590, 622, 667 |
| 5 | 493, 440, 295, 311, 667 |
| 29 | 493, 88, 59, 311, 667 |
| 17, 88, 59, 311, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 17 x 88 x 59 x 311 x 23 = 183092193680
Therefore, the lowest common multiple of 986,880,590,622,667 is 183092193680.
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.
986 x 880 x 590 x 622 x 667 = 212386944668800
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
590 : 1, 2, 5, 10, 59, 118, 295, 590
622 : 1, 2, 311, 622
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,880,590,622,667, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
880:2x 2x 2x 2x 5x 11
590:2x 5x 59
622:2x 311
667:23x 29
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 5x 29 = 1160
Therefore, the value for common factors is 1160.
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 = 212386944668800/(1x1160)
LCM = 212386944668800/1160
LCM = 183092193680
Thus, we can understand that the LCM of 986,880,590,622,667 is 183092193680.
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FAQs on LCM of 986, 880, 590, 622, 667
1. What is the LCM of 986, 880, 590, 622, 667?
Answer: LCM of 986, 880, 590, 622, 667 is 183092193680.
2. How to calculate the LCM of 986, 880, 590, 622, 667?
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 986, 880, 590, 622, 667.
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}.