Find the LCM of 505, 609, 182, 959, 707 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, 609, 182, 959, 707. So, keep reading to learn more.
Given numbers are 505,609,182,959,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,609,182,959,707 is 1095475290.
Find LCM of 505,609,182,959,707 with Prime Factorization
7 | 505, 609, 182, 959, 707 |
101 | 505, 87, 26, 137, 101 |
5, 87, 26, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 101 x 5 x 87 x 26 x 137 x 1 = 1095475290
Therefore, the lowest common multiple of 505,609,182,959,707 is 1095475290.
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 609 x 182 x 959 x 707 = 37950550471470
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
182 : 1, 2, 7, 13, 14, 26, 91, 182
959 : 1, 7, 137, 959
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,609,182,959,707, is 1.
Now, the common factors can be found like this.
505:5x 101
609:3x 7x 29
182:2x 7x 13
959:7x 137
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7x 101 = 34643
Therefore, the value for common factors is 34643.
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 = 37950550471470/(1x34643)
LCM = 37950550471470/34643
LCM = 1095475290
Thus, we can understand that the LCM of 505,609,182,959,707 is 1095475290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 609, 182, 959, 707?
Answer: LCM of 505, 609, 182, 959, 707 is 1095475290.
2. How to calculate the LCM of 505, 609, 182, 959, 707?
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, 609, 182, 959, 707.
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}.