LCM of 793, 541, 945, 966, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 541, 945, 966, 207 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 793, 541, 945, 966, 207. So, keep reading to learn more.
Given numbers are 793,541,945,966,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,541,945,966,207 is 18649195110.
Find LCM of 793,541,945,966,207 with Prime Factorization
| 3 | 793, 541, 945, 966, 207 |
| 3 | 793, 541, 315, 322, 69 |
| 7 | 793, 541, 105, 322, 23 |
| 23 | 793, 541, 15, 46, 23 |
| 793, 541, 15, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 23 x 793 x 541 x 15 x 2 x 1 = 18649195110
Therefore, the lowest common multiple of 793,541,945,966,207 is 18649195110.
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.
793 x 541 x 945 x 966 x 207 = 81068051143170
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.
793 : 1, 13, 61, 793
541 : 1, 541
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,541,945,966,207, is 1.
Now, the common factors can be found like this.
793:13x 61
541:541
945:3x 3x 3x 5x 7
966:2x 3x 7x 23
207:3x 3x 23
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 3x 7x 23 = 4347
Therefore, the value for common factors is 4347.
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 = 81068051143170/(1x4347)
LCM = 81068051143170/4347
LCM = 18649195110
Thus, we can understand that the LCM of 793,541,945,966,207 is 18649195110.
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FAQs on LCM of 793, 541, 945, 966, 207
1. What is the LCM of 793, 541, 945, 966, 207?
Answer: LCM of 793, 541, 945, 966, 207 is 18649195110.
2. How to calculate the LCM of 793, 541, 945, 966, 207?
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 793, 541, 945, 966, 207.
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}.