LCM of 207, 178, 666, 966, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 178, 666, 966, 686 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 207, 178, 666, 966, 686. So, keep reading to learn more.
Given numbers are 207,178,666,966,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,178,666,966,686 is 467612586.
Find LCM of 207,178,666,966,686 with Prime Factorization
| 2 | 207, 178, 666, 966, 686 |
| 3 | 207, 89, 333, 483, 343 |
| 3 | 69, 89, 111, 161, 343 |
| 7 | 23, 89, 37, 161, 343 |
| 23 | 23, 89, 37, 23, 49 |
| 1, 89, 37, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 23 x 1 x 89 x 37 x 1 x 49 = 467612586
Therefore, the lowest common multiple of 207,178,666,966,686 is 467612586.
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.
207 x 178 x 666 x 966 x 686 = 16261695290736
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.
207 : 1, 3, 9, 23, 69, 207
178 : 1, 2, 89, 178
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,178,666,966,686, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
178:2x 89
666:2x 3x 3x 37
966:2x 3x 7x 23
686:2x 7x 7x 7
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 3x 3x 3x 7x 23 = 34776
Therefore, the value for common factors is 34776.
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 = 16261695290736/(1x34776)
LCM = 16261695290736/34776
LCM = 467612586
Thus, we can understand that the LCM of 207,178,666,966,686 is 467612586.
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FAQs on LCM of 207, 178, 666, 966, 686
1. What is the LCM of 207, 178, 666, 966, 686?
Answer: LCM of 207, 178, 666, 966, 686 is 467612586.
2. How to calculate the LCM of 207, 178, 666, 966, 686?
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 207, 178, 666, 966, 686.
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}.