Find the LCM of 816, 460, 978, 171, 145 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 816, 460, 978, 171, 145. So, keep reading to learn more.
Given numbers are 816,460,978,171,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,460,978,171,145 is 25284155760.
Find LCM of 816,460,978,171,145 with Prime Factorization
2 | 816, 460, 978, 171, 145 |
2 | 408, 230, 489, 171, 145 |
3 | 204, 115, 489, 171, 145 |
5 | 68, 115, 163, 57, 145 |
68, 23, 163, 57, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 68 x 23 x 163 x 57 x 29 = 25284155760
Therefore, the lowest common multiple of 816,460,978,171,145 is 25284155760.
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.
816 x 460 x 978 x 171 x 145 = 9102296073600
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
978 : 1, 2, 3, 6, 163, 326, 489, 978
171 : 1, 3, 9, 19, 57, 171
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,460,978,171,145, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
460:2x 2x 5x 23
978:2x 3x 163
171:3x 3x 19
145:5x 29
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 9102296073600/(1x360)
LCM = 9102296073600/360
LCM = 25284155760
Thus, we can understand that the LCM of 816,460,978,171,145 is 25284155760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 460, 978, 171, 145?
Answer: LCM of 816, 460, 978, 171, 145 is 25284155760.
2. How to calculate the LCM of 816, 460, 978, 171, 145?
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 816, 460, 978, 171, 145.
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}.