Find the LCM of 505, 182, 484, 592, 715 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 505, 182, 484, 592, 715. So, keep reading to learn more.
Given numbers are 505,182,484,592,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,182,484,592,715 is 3291848560.
Find LCM of 505,182,484,592,715 with Prime Factorization
2 | 505, 182, 484, 592, 715 |
2 | 505, 91, 242, 296, 715 |
5 | 505, 91, 121, 148, 715 |
11 | 101, 91, 121, 148, 143 |
13 | 101, 91, 11, 148, 13 |
101, 7, 11, 148, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 101 x 7 x 11 x 148 x 1 = 3291848560
Therefore, the lowest common multiple of 505,182,484,592,715 is 3291848560.
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.
505 x 182 x 484 x 592 x 715 = 18829373763200
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.
505 : 1, 5, 101, 505
182 : 1, 2, 7, 13, 14, 26, 91, 182
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,182,484,592,715, is 1.
Now, the common factors can be found like this.
505:5x 101
182:2x 7x 13
484:2x 2x 11x 11
592:2x 2x 2x 2x 37
715:5x 11x 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 5x 11x 13 = 5720
Therefore, the value for common factors is 5720.
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 = 18829373763200/(1x5720)
LCM = 18829373763200/5720
LCM = 3291848560
Thus, we can understand that the LCM of 505,182,484,592,715 is 3291848560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 182, 484, 592, 715?
Answer: LCM of 505, 182, 484, 592, 715 is 3291848560.
2. How to calculate the LCM of 505, 182, 484, 592, 715?
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 505, 182, 484, 592, 715.
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}.