Find the LCM of 517, 212, 151, 163, 726 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, 212, 151, 163, 726. So, keep reading to learn more.
Given numbers are 517,212,151,163,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,212,151,163,726 is 89023547316.
Find LCM of 517,212,151,163,726 with Prime Factorization
2 | 517, 212, 151, 163, 726 |
11 | 517, 106, 151, 163, 363 |
47, 106, 151, 163, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 106 x 151 x 163 x 33 = 89023547316
Therefore, the lowest common multiple of 517,212,151,163,726 is 89023547316.
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 212 x 151 x 163 x 726 = 1958518040952
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
212 : 1, 2, 4, 53, 106, 212
151 : 1, 151
163 : 1, 163
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,212,151,163,726, is 1.
Now, the common factors can be found like this.
517:11x 47
212:2x 2x 53
151:151
163:163
726:2x 3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 1958518040952/(1x22)
LCM = 1958518040952/22
LCM = 89023547316
Thus, we can understand that the LCM of 517,212,151,163,726 is 89023547316.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 212, 151, 163, 726?
Answer: LCM of 517, 212, 151, 163, 726 is 89023547316.
2. How to calculate the LCM of 517, 212, 151, 163, 726?
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, 212, 151, 163, 726.
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}.