LCM of 973, 990, 605, 945, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 990, 605, 945, 833 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 973, 990, 605, 945, 833. So, keep reading to learn more.
Given numbers are 973,990,605,945,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,990,605,945,833 is 3782761290.
Find LCM of 973,990,605,945,833 with Prime Factorization
| 3 | 973, 990, 605, 945, 833 |
| 3 | 973, 330, 605, 315, 833 |
| 5 | 973, 110, 605, 105, 833 |
| 7 | 973, 22, 121, 21, 833 |
| 11 | 139, 22, 121, 3, 119 |
| 139, 2, 11, 3, 119 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 11 x 139 x 2 x 11 x 3 x 119 = 3782761290
Therefore, the lowest common multiple of 973,990,605,945,833 is 3782761290.
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.
973 x 990 x 605 x 945 x 833 = 458754375444750
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.
973 : 1, 7, 139, 973
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
605 : 1, 5, 11, 55, 121, 605
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,990,605,945,833, is 1.
Now, the common factors can be found like this.
973:7x 139
990:2x 3x 3x 5x 11
605:5x 11x 11
945:3x 3x 3x 5x 7
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 7x 7x 11 = 121275
Therefore, the value for common factors is 121275.
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 = 458754375444750/(1x121275)
LCM = 458754375444750/121275
LCM = 3782761290
Thus, we can understand that the LCM of 973,990,605,945,833 is 3782761290.
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FAQs on LCM of 973, 990, 605, 945, 833
1. What is the LCM of 973, 990, 605, 945, 833?
Answer: LCM of 973, 990, 605, 945, 833 is 3782761290.
2. How to calculate the LCM of 973, 990, 605, 945, 833?
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 973, 990, 605, 945, 833.
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}.