LCM of 774, 297, 993, 990, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 297, 993, 990, 981 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, 297, 993, 990, 981. So, keep reading to learn more.
Given numbers are 774,297,993,990,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,297,993,990,981 is 4607649090.
Find LCM of 774,297,993,990,981 with Prime Factorization
| 2 | 774, 297, 993, 990, 981 |
| 3 | 387, 297, 993, 495, 981 |
| 3 | 129, 99, 331, 165, 327 |
| 11 | 43, 33, 331, 55, 109 |
| 43, 3, 331, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 43 x 3 x 331 x 5 x 109 = 4607649090
Therefore, the lowest common multiple of 774,297,993,990,981 is 4607649090.
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 297 x 993 x 990 x 981 = 221692428316260
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
297 : 1, 3, 9, 11, 27, 33, 99, 297
993 : 1, 3, 331, 993
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
981 : 1, 3, 9, 109, 327, 981
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,297,993,990,981, is 3.
Now, the common factors can be found like this.
774:2x 3x 3x 43
297:3x 3x 3x 11
993:3x 331
990:2x 3x 3x 5x 11
981:3x 3x 109
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 3x 3x 3x 3x 3x 11 = 16038
Therefore, the value for common factors is 16038.
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 = 221692428316260/(3x16038)
LCM = 221692428316260/48114
LCM = 4607649090
Thus, we can understand that the LCM of 774,297,993,990,981 is 4607649090.
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FAQs on LCM of 774, 297, 993, 990, 981
1. What is the LCM of 774, 297, 993, 990, 981?
Answer: LCM of 774, 297, 993, 990, 981 is 4607649090.
2. How to calculate the LCM of 774, 297, 993, 990, 981?
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, 297, 993, 990, 981.
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}.