Find the LCM of 517, 461, 515, 888, 742 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 517, 461, 515, 888, 742. So, keep reading to learn more.
Given numbers are 517,461,515,888,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,461,515,888,742 is 40437618707640.
Find LCM of 517,461,515,888,742 with Prime Factorization
2 | 517, 461, 515, 888, 742 |
517, 461, 515, 444, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 517 x 461 x 515 x 444 x 371 = 40437618707640
Therefore, the lowest common multiple of 517,461,515,888,742 is 40437618707640.
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.
517 x 461 x 515 x 888 x 742 = 80875237415280
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.
517 : 1, 11, 47, 517
461 : 1, 461
515 : 1, 5, 103, 515
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,461,515,888,742, is 1.
Now, the common factors can be found like this.
517:11x 47
461:461
515:5x 103
888:2x 2x 2x 3x 37
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 80875237415280/(1x2)
LCM = 80875237415280/2
LCM = 40437618707640
Thus, we can understand that the LCM of 517,461,515,888,742 is 40437618707640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 461, 515, 888, 742?
Answer: LCM of 517, 461, 515, 888, 742 is 40437618707640.
2. How to calculate the LCM of 517, 461, 515, 888, 742?
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 517, 461, 515, 888, 742.
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}.