Find the LCM of 8, 978, 708, 163 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 8, 978, 708, 163. So, keep reading to learn more.
Given numbers are 8,978,708,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8,978,708,163 is 230808.
Find LCM of 8,978,708,163 with Prime Factorization
2 | 8, 978, 708, 163 |
2 | 4, 489, 354, 163 |
3 | 2, 489, 177, 163 |
163 | 2, 163, 59, 163 |
2, 1, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 2 x 1 x 59 x 1 = 230808
Therefore, the lowest common multiple of 8,978,708,163 is 230808.
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.
8 x 978 x 708 x 163 = 902920896
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.
8 : 1, 2, 4, 8
978 : 1, 2, 3, 6, 163, 326, 489, 978
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,978,708,163, is 1.
Now, the common factors can be found like this.
8:2x 2x 2
978:2x 3x 163
708:2x 2x 3x 59
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 163 = 3912
Therefore, the value for common factors is 3912.
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 = 902920896/(1x3912)
LCM = 902920896/3912
LCM = 230808
Thus, we can understand that the LCM of 8,978,708,163 is 230808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8, 978, 708, 163?
Answer: LCM of 8, 978, 708, 163 is 230808.
2. How to calculate the LCM of 8, 978, 708, 163?
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 8, 978, 708, 163.
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}.