Find the LCM of 985, 656, 465, 163, 978 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 985, 656, 465, 163, 978. So, keep reading to learn more.
Given numbers are 985,656,465,163,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,656,465,163,978 is 9795139440.
Find LCM of 985,656,465,163,978 with Prime Factorization
2 | 985, 656, 465, 163, 978 |
3 | 985, 328, 465, 163, 489 |
5 | 985, 328, 155, 163, 163 |
163 | 197, 328, 31, 163, 163 |
197, 328, 31, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 197 x 328 x 31 x 1 x 1 = 9795139440
Therefore, the lowest common multiple of 985,656,465,163,978 is 9795139440.
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.
985 x 656 x 465 x 163 x 978 = 47898231861600
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.
985 : 1, 5, 197, 985
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
465 : 1, 3, 5, 15, 31, 93, 155, 465
163 : 1, 163
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,656,465,163,978, is 1.
Now, the common factors can be found like this.
985:5x 197
656:2x 2x 2x 2x 41
465:3x 5x 31
163:163
978:2x 3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 163 = 4890
Therefore, the value for common factors is 4890.
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 = 47898231861600/(1x4890)
LCM = 47898231861600/4890
LCM = 9795139440
Thus, we can understand that the LCM of 985,656,465,163,978 is 9795139440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 656, 465, 163, 978?
Answer: LCM of 985, 656, 465, 163, 978 is 9795139440.
2. How to calculate the LCM of 985, 656, 465, 163, 978?
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 985, 656, 465, 163, 978.
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}.