Find the LCM of 979, 892, 978, 706, 424 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 979, 892, 978, 706, 424. So, keep reading to learn more.
Given numbers are 979,892,978,706,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,892,978,706,424 is 15978535649736.
Find LCM of 979,892,978,706,424 with Prime Factorization
2 | 979, 892, 978, 706, 424 |
2 | 979, 446, 489, 353, 212 |
979, 223, 489, 353, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 979 x 223 x 489 x 353 x 106 = 15978535649736
Therefore, the lowest common multiple of 979,892,978,706,424 is 15978535649736.
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.
979 x 892 x 978 x 706 x 424 = 255656570395776
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.
979 : 1, 11, 89, 979
892 : 1, 2, 4, 223, 446, 892
978 : 1, 2, 3, 6, 163, 326, 489, 978
706 : 1, 2, 353, 706
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,892,978,706,424, is 1.
Now, the common factors can be found like this.
979:11x 89
892:2x 2x 223
978:2x 3x 163
706:2x 353
424:2x 2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 255656570395776/(1x16)
LCM = 255656570395776/16
LCM = 15978535649736
Thus, we can understand that the LCM of 979,892,978,706,424 is 15978535649736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 892, 978, 706, 424?
Answer: LCM of 979, 892, 978, 706, 424 is 15978535649736.
2. How to calculate the LCM of 979, 892, 978, 706, 424?
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 979, 892, 978, 706, 424.
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}.