Find the LCM of 926, 828, 589, 517 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 926, 828, 589, 517. So, keep reading to learn more.
Given numbers are 926,828,589,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,828,589,517 is 116739321732.
Find LCM of 926,828,589,517 with Prime Factorization
2 | 926, 828, 589, 517 |
463, 414, 589, 517 |
Multiply the prime numbers at the bottom and the left side.
2 x 463 x 414 x 589 x 517 = 116739321732
Therefore, the lowest common multiple of 926,828,589,517 is 116739321732.
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.
926 x 828 x 589 x 517 = 233478643464
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.
926 : 1, 2, 463, 926
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
589 : 1, 19, 31, 589
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,828,589,517, is 1.
Now, the common factors can be found like this.
926:2x 463
828:2x 2x 3x 3x 23
589:19x 31
517:11x 47
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 = 233478643464/(1x2)
LCM = 233478643464/2
LCM = 116739321732
Thus, we can understand that the LCM of 926,828,589,517 is 116739321732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 828, 589, 517?
Answer: LCM of 926, 828, 589, 517 is 116739321732.
2. How to calculate the LCM of 926, 828, 589, 517?
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 926, 828, 589, 517.
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}.