Find the LCM of 709, 808, 986, 611, 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 709, 808, 986, 611, 827. So, keep reading to learn more.
Given numbers are 709,808,986,611,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,808,986,611,827 is 142708957971112.
Find LCM of 709,808,986,611,827 with Prime Factorization
2 | 709, 808, 986, 611, 827 |
709, 404, 493, 611, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 709 x 404 x 493 x 611 x 827 = 142708957971112
Therefore, the lowest common multiple of 709,808,986,611,827 is 142708957971112.
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.
709 x 808 x 986 x 611 x 827 = 285417915942224
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.
709 : 1, 709
808 : 1, 2, 4, 8, 101, 202, 404, 808
986 : 1, 2, 17, 29, 34, 58, 493, 986
611 : 1, 13, 47, 611
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,808,986,611,827, is 1.
Now, the common factors can be found like this.
709:709
808:2x 2x 2x 101
986:2x 17x 29
611:13x 47
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 285417915942224/(1x2)
LCM = 285417915942224/2
LCM = 142708957971112
Thus, we can understand that the LCM of 709,808,986,611,827 is 142708957971112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 808, 986, 611, 827?
Answer: LCM of 709, 808, 986, 611, 827 is 142708957971112.
2. How to calculate the LCM of 709, 808, 986, 611, 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 709, 808, 986, 611, 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}.