LCM of 774, 172, 900, 990, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 172, 900, 990, 993 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 774, 172, 900, 990, 993. So, keep reading to learn more.
Given numbers are 774,172,900,990,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,172,900,990,993 is 140906700.
Find LCM of 774,172,900,990,993 with Prime Factorization
| 2 | 774, 172, 900, 990, 993 |
| 2 | 387, 86, 450, 495, 993 |
| 3 | 387, 43, 225, 495, 993 |
| 3 | 129, 43, 75, 165, 331 |
| 5 | 43, 43, 25, 55, 331 |
| 43 | 43, 43, 5, 11, 331 |
| 1, 1, 5, 11, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 43 x 1 x 1 x 5 x 11 x 331 = 140906700
Therefore, the lowest common multiple of 774,172,900,990,993 is 140906700.
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.
774 x 172 x 900 x 990 x 993 = 117786728664000
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
172 : 1, 2, 4, 43, 86, 172
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,172,900,990,993, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
172:2x 2x 43
900:2x 2x 3x 3x 5x 5
990:2x 3x 3x 5x 11
993:3x 331
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 2x 3x 3x 3x 3x 3x 5x 43 = 835920
Therefore, the value for common factors is 835920.
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 = 117786728664000/(1x835920)
LCM = 117786728664000/835920
LCM = 140906700
Thus, we can understand that the LCM of 774,172,900,990,993 is 140906700.
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FAQs on LCM of 774, 172, 900, 990, 993
1. What is the LCM of 774, 172, 900, 990, 993?
Answer: LCM of 774, 172, 900, 990, 993 is 140906700.
2. How to calculate the LCM of 774, 172, 900, 990, 993?
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 774, 172, 900, 990, 993.
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}.