Find the LCM of 416, 810, 492, 519, 364 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 416, 810, 492, 519, 364. So, keep reading to learn more.
Given numbers are 416,810,492,519,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,810,492,519,364 is 8365200480.
Find LCM of 416,810,492,519,364 with Prime Factorization
2 | 416, 810, 492, 519, 364 |
2 | 208, 405, 246, 519, 182 |
3 | 104, 405, 123, 519, 91 |
13 | 104, 135, 41, 173, 91 |
8, 135, 41, 173, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 8 x 135 x 41 x 173 x 7 = 8365200480
Therefore, the lowest common multiple of 416,810,492,519,364 is 8365200480.
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.
416 x 810 x 492 x 519 x 364 = 31319310597120
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
519 : 1, 3, 173, 519
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,810,492,519,364, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
810:2x 3x 3x 3x 3x 5
492:2x 2x 3x 41
519:3x 173
364:2x 2x 7x 13
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 3x 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 31319310597120/(1x3744)
LCM = 31319310597120/3744
LCM = 8365200480
Thus, we can understand that the LCM of 416,810,492,519,364 is 8365200480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 810, 492, 519, 364?
Answer: LCM of 416, 810, 492, 519, 364 is 8365200480.
2. How to calculate the LCM of 416, 810, 492, 519, 364?
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 416, 810, 492, 519, 364.
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}.