LCM of 989, 667, 870, 949, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 667, 870, 949, 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 989, 667, 870, 949, 990. So, keep reading to learn more.
Given numbers are 989,667,870,949,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,667,870,949,990 is 26946086310.
Find LCM of 989,667,870,949,990 with Prime Factorization
| 2 | 989, 667, 870, 949, 990 |
| 3 | 989, 667, 435, 949, 495 |
| 5 | 989, 667, 145, 949, 165 |
| 23 | 989, 667, 29, 949, 33 |
| 29 | 43, 29, 29, 949, 33 |
| 43, 1, 1, 949, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 29 x 43 x 1 x 1 x 949 x 33 = 26946086310
Therefore, the lowest common multiple of 989,667,870,949,990 is 26946086310.
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.
989 x 667 x 870 x 949 x 990 = 539191187063100
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.
989 : 1, 23, 43, 989
667 : 1, 23, 29, 667
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
949 : 1, 13, 73, 949
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 989,667,870,949,990, is 1.
Now, the common factors can be found like this.
989:23x 43
667:23x 29
870:2x 3x 5x 29
949:13x 73
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 3x 5x 23x 29 = 20010
Therefore, the value for common factors is 20010.
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 = 539191187063100/(1x20010)
LCM = 539191187063100/20010
LCM = 26946086310
Thus, we can understand that the LCM of 989,667,870,949,990 is 26946086310.
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FAQs on LCM of 989, 667, 870, 949, 990
1. What is the LCM of 989, 667, 870, 949, 990?
Answer: LCM of 989, 667, 870, 949, 990 is 26946086310.
2. How to calculate the LCM of 989, 667, 870, 949, 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 989, 667, 870, 949, 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}.