Find the LCM of 146, 480, 166, 864 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 146, 480, 166, 864. So, keep reading to learn more.
Given numbers are 146,480,166,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,480,166,864 is 26174880.
Find LCM of 146,480,166,864 with Prime Factorization
2 | 146, 480, 166, 864 |
2 | 73, 240, 83, 432 |
2 | 73, 120, 83, 216 |
2 | 73, 60, 83, 108 |
2 | 73, 30, 83, 54 |
3 | 73, 15, 83, 27 |
73, 5, 83, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 73 x 5 x 83 x 9 = 26174880
Therefore, the lowest common multiple of 146,480,166,864 is 26174880.
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.
146 x 480 x 166 x 864 = 10051153920
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.
146 : 1, 2, 73, 146
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
166 : 1, 2, 83, 166
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,480,166,864, is 2.
Now, the common factors can be found like this.
146:2x 73
480:2x 2x 2x 2x 2x 3x 5
166:2x 83
864:2x 2x 2x 2x 2x 3x 3x 3
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 10051153920/(2x192)
LCM = 10051153920/384
LCM = 26174880
Thus, we can understand that the LCM of 146,480,166,864 is 26174880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 480, 166, 864?
Answer: LCM of 146, 480, 166, 864 is 26174880.
2. How to calculate the LCM of 146, 480, 166, 864?
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 146, 480, 166, 864.
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}.