Find the LCM of 166, 639, 765, 243, 820 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 166, 639, 765, 243, 820. So, keep reading to learn more.
Given numbers are 166,639,765,243,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,639,765,243,820 is 19962066060.
Find LCM of 166,639,765,243,820 with Prime Factorization
2 | 166, 639, 765, 243, 820 |
3 | 83, 639, 765, 243, 410 |
3 | 83, 213, 255, 81, 410 |
5 | 83, 71, 85, 27, 410 |
83, 71, 17, 27, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 83 x 71 x 17 x 27 x 82 = 19962066060
Therefore, the lowest common multiple of 166,639,765,243,820 is 19962066060.
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.
166 x 639 x 765 x 243 x 820 = 16169273508600
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.
166 : 1, 2, 83, 166
639 : 1, 3, 9, 71, 213, 639
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
243 : 1, 3, 9, 27, 81, 243
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,639,765,243,820, is 1.
Now, the common factors can be found like this.
166:2x 83
639:3x 3x 71
765:3x 3x 5x 17
243:3x 3x 3x 3x 3
820:2x 2x 5x 41
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 5 = 810
Therefore, the value for common factors is 810.
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 = 16169273508600/(1x810)
LCM = 16169273508600/810
LCM = 19962066060
Thus, we can understand that the LCM of 166,639,765,243,820 is 19962066060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 166, 639, 765, 243, 820?
Answer: LCM of 166, 639, 765, 243, 820 is 19962066060.
2. How to calculate the LCM of 166, 639, 765, 243, 820?
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 166, 639, 765, 243, 820.
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}.