Find the LCM of 261, 170, 216, 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 261, 170, 216, 978. So, keep reading to learn more.
Given numbers are 261,170,216,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,170,216,978 is 86787720.
Find LCM of 261,170,216,978 with Prime Factorization
2 | 261, 170, 216, 978 |
3 | 261, 85, 108, 489 |
3 | 87, 85, 36, 163 |
29, 85, 12, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 85 x 12 x 163 = 86787720
Therefore, the lowest common multiple of 261,170,216,978 is 86787720.
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.
261 x 170 x 216 x 978 = 9373073760
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.
261 : 1, 3, 9, 29, 87, 261
170 : 1, 2, 5, 10, 17, 34, 85, 170
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 261,170,216,978, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
170:2x 5x 17
216:2x 2x 2x 3x 3x 3
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 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 9373073760/(1x108)
LCM = 9373073760/108
LCM = 86787720
Thus, we can understand that the LCM of 261,170,216,978 is 86787720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 261, 170, 216, 978?
Answer: LCM of 261, 170, 216, 978 is 86787720.
2. How to calculate the LCM of 261, 170, 216, 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 261, 170, 216, 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}.