Find the LCM of 259, 552, 471, 966, 157 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 259, 552, 471, 966, 157. So, keep reading to learn more.
Given numbers are 259,552,471,966,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,552,471,966,157 is 22445976.
Find LCM of 259,552,471,966,157 with Prime Factorization
2 | 259, 552, 471, 966, 157 |
3 | 259, 276, 471, 483, 157 |
7 | 259, 92, 157, 161, 157 |
23 | 37, 92, 157, 23, 157 |
157 | 37, 4, 157, 1, 157 |
37, 4, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 157 x 37 x 4 x 1 x 1 x 1 = 22445976
Therefore, the lowest common multiple of 259,552,471,966,157 is 22445976.
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.
259 x 552 x 471 x 966 x 157 = 10212604836336
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.
259 : 1, 7, 37, 259
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
471 : 1, 3, 157, 471
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,552,471,966,157, is 1.
Now, the common factors can be found like this.
259:7x 37
552:2x 2x 2x 3x 23
471:3x 157
966:2x 3x 7x 23
157:157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 23x 157 = 454986
Therefore, the value for common factors is 454986.
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 = 10212604836336/(1x454986)
LCM = 10212604836336/454986
LCM = 22445976
Thus, we can understand that the LCM of 259,552,471,966,157 is 22445976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 259, 552, 471, 966, 157?
Answer: LCM of 259, 552, 471, 966, 157 is 22445976.
2. How to calculate the LCM of 259, 552, 471, 966, 157?
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 259, 552, 471, 966, 157.
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}.