Find the LCM of 971, 806, 871, 623 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 971, 806, 871, 623. So, keep reading to learn more.
Given numbers are 971,806,871,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,806,871,623 is 32667591866.
Find LCM of 971,806,871,623 with Prime Factorization
13 | 971, 806, 871, 623 |
971, 62, 67, 623 |
Multiply the prime numbers at the bottom and the left side.
13 x 971 x 62 x 67 x 623 = 32667591866
Therefore, the lowest common multiple of 971,806,871,623 is 32667591866.
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.
971 x 806 x 871 x 623 = 424678694258
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.
971 : 1, 971
806 : 1, 2, 13, 26, 31, 62, 403, 806
871 : 1, 13, 67, 871
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,806,871,623, is 1.
Now, the common factors can be found like this.
971:971
806:2x 13x 31
871:13x 67
623:7x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 424678694258/(1x13)
LCM = 424678694258/13
LCM = 32667591866
Thus, we can understand that the LCM of 971,806,871,623 is 32667591866.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 806, 871, 623?
Answer: LCM of 971, 806, 871, 623 is 32667591866.
2. How to calculate the LCM of 971, 806, 871, 623?
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 971, 806, 871, 623.
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}.