Find the LCM of 492, 810, 480, 716, 265 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 492, 810, 480, 716, 265. So, keep reading to learn more.
Given numbers are 492,810,480,716,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,810,480,716,265 is 5041012320.
Find LCM of 492,810,480,716,265 with Prime Factorization
2 | 492, 810, 480, 716, 265 |
2 | 246, 405, 240, 358, 265 |
3 | 123, 405, 120, 179, 265 |
5 | 41, 135, 40, 179, 265 |
41, 27, 8, 179, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 27 x 8 x 179 x 53 = 5041012320
Therefore, the lowest common multiple of 492,810,480,716,265 is 5041012320.
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.
492 x 810 x 480 x 716 x 265 = 36295288704000
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
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
716 : 1, 2, 4, 179, 358, 716
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,810,480,716,265, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
810:2x 3x 3x 3x 3x 5
480:2x 2x 2x 2x 2x 3x 5
716:2x 2x 179
265:5x 53
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 5x 5 = 7200
Therefore, the value for common factors is 7200.
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 = 36295288704000/(1x7200)
LCM = 36295288704000/7200
LCM = 5041012320
Thus, we can understand that the LCM of 492,810,480,716,265 is 5041012320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 810, 480, 716, 265?
Answer: LCM of 492, 810, 480, 716, 265 is 5041012320.
2. How to calculate the LCM of 492, 810, 480, 716, 265?
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 492, 810, 480, 716, 265.
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}.