Find the LCM of 966, 409, 331, 161, 827 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 966, 409, 331, 161, 827. So, keep reading to learn more.
Given numbers are 966,409,331,161,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,409,331,161,827 is 108151846278.
Find LCM of 966,409,331,161,827 with Prime Factorization
7 | 966, 409, 331, 161, 827 |
23 | 138, 409, 331, 23, 827 |
6, 409, 331, 1, 827 |
Multiply the prime numbers at the bottom and the left side.
7 x 23 x 6 x 409 x 331 x 1 x 827 = 108151846278
Therefore, the lowest common multiple of 966,409,331,161,827 is 108151846278.
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.
966 x 409 x 331 x 161 x 827 = 17412447250758
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
409 : 1, 409
331 : 1, 331
161 : 1, 7, 23, 161
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,409,331,161,827, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
409:409
331:331
161:7x 23
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 23 = 161
Therefore, the value for common factors is 161.
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 = 17412447250758/(1x161)
LCM = 17412447250758/161
LCM = 108151846278
Thus, we can understand that the LCM of 966,409,331,161,827 is 108151846278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 966, 409, 331, 161, 827?
Answer: LCM of 966, 409, 331, 161, 827 is 108151846278.
2. How to calculate the LCM of 966, 409, 331, 161, 827?
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 966, 409, 331, 161, 827.
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}.