Find the LCM of 791, 669, 713, 989, 578 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 791, 669, 713, 989, 578. So, keep reading to learn more.
Given numbers are 791,669,713,989,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,669,713,989,578 is 9377529199458.
Find LCM of 791,669,713,989,578 with Prime Factorization
23 | 791, 669, 713, 989, 578 |
791, 669, 31, 43, 578 |
Multiply the prime numbers at the bottom and the left side.
23 x 791 x 669 x 31 x 43 x 578 = 9377529199458
Therefore, the lowest common multiple of 791,669,713,989,578 is 9377529199458.
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.
791 x 669 x 713 x 989 x 578 = 215683171587534
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.
791 : 1, 7, 113, 791
669 : 1, 3, 223, 669
713 : 1, 23, 31, 713
989 : 1, 23, 43, 989
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,669,713,989,578, is 1.
Now, the common factors can be found like this.
791:7x 113
669:3x 223
713:23x 31
989:23x 43
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 215683171587534/(1x23)
LCM = 215683171587534/23
LCM = 9377529199458
Thus, we can understand that the LCM of 791,669,713,989,578 is 9377529199458.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 669, 713, 989, 578?
Answer: LCM of 791, 669, 713, 989, 578 is 9377529199458.
2. How to calculate the LCM of 791, 669, 713, 989, 578?
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 791, 669, 713, 989, 578.
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}.