Find the LCM of 901, 816, 360 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 901, 816, 360. So, keep reading to learn more.
Given numbers are 901,816,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,816,360 is 648720.
Find LCM of 901,816,360 with Prime Factorization
2 | 901, 816, 360 |
2 | 901, 408, 180 |
2 | 901, 204, 90 |
3 | 901, 102, 45 |
17 | 901, 34, 15 |
53, 2, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 53 x 2 x 15 = 648720
Therefore, the lowest common multiple of 901,816,360 is 648720.
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.
901 x 816 x 360 = 264677760
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.
901 : 1, 17, 53, 901
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,816,360, is 1.
Now, the common factors can be found like this.
901:17x 53
816:2x 2x 2x 2x 3x 17
360:2x 2x 2x 3x 3x 5
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 17 = 408
Therefore, the value for common factors is 408.
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 = 264677760/(1x408)
LCM = 264677760/408
LCM = 648720
Thus, we can understand that the LCM of 901,816,360 is 648720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 816, 360?
Answer: LCM of 901, 816, 360 is 648720.
2. How to calculate the LCM of 901, 816, 360?
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 901, 816, 360.
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}.