Find the LCM of 566, 548, 392, 931, 171 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 566, 548, 392, 931, 171. So, keep reading to learn more.
Given numbers are 566,548,392,931,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,548,392,931,171 is 2598897672.
Find LCM of 566,548,392,931,171 with Prime Factorization
2 | 566, 548, 392, 931, 171 |
2 | 283, 274, 196, 931, 171 |
7 | 283, 137, 98, 931, 171 |
7 | 283, 137, 14, 133, 171 |
19 | 283, 137, 2, 19, 171 |
283, 137, 2, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 19 x 283 x 137 x 2 x 1 x 9 = 2598897672
Therefore, the lowest common multiple of 566,548,392,931,171 is 2598897672.
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.
566 x 548 x 392 x 931 x 171 = 19356589861056
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.
566 : 1, 2, 283, 566
548 : 1, 2, 4, 137, 274, 548
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
931 : 1, 7, 19, 49, 133, 931
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,548,392,931,171, is 1.
Now, the common factors can be found like this.
566:2x 283
548:2x 2x 137
392:2x 2x 2x 7x 7
931:7x 7x 19
171:3x 3x 19
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 7x 7x 19 = 7448
Therefore, the value for common factors is 7448.
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 = 19356589861056/(1x7448)
LCM = 19356589861056/7448
LCM = 2598897672
Thus, we can understand that the LCM of 566,548,392,931,171 is 2598897672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 566, 548, 392, 931, 171?
Answer: LCM of 566, 548, 392, 931, 171 is 2598897672.
2. How to calculate the LCM of 566, 548, 392, 931, 171?
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 566, 548, 392, 931, 171.
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}.