Find the LCM of 122, 456, 864, 723, 265 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 122, 456, 864, 723, 265. So, keep reading to learn more.
Given numbers are 122,456,864,723,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,456,864,723,265 is 63952878240.
Find LCM of 122,456,864,723,265 with Prime Factorization
2 | 122, 456, 864, 723, 265 |
2 | 61, 228, 432, 723, 265 |
2 | 61, 114, 216, 723, 265 |
3 | 61, 57, 108, 723, 265 |
61, 19, 36, 241, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 61 x 19 x 36 x 241 x 265 = 63952878240
Therefore, the lowest common multiple of 122,456,864,723,265 is 63952878240.
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.
122 x 456 x 864 x 723 x 265 = 9209214466560
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.
122 : 1, 2, 61, 122
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
723 : 1, 3, 241, 723
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,456,864,723,265, is 1.
Now, the common factors can be found like this.
122:2x 61
456:2x 2x 2x 3x 19
864:2x 2x 2x 2x 2x 3x 3x 3
723:3x 241
265:5x 53
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 9209214466560/(1x144)
LCM = 9209214466560/144
LCM = 63952878240
Thus, we can understand that the LCM of 122,456,864,723,265 is 63952878240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 122, 456, 864, 723, 265?
Answer: LCM of 122, 456, 864, 723, 265 is 63952878240.
2. How to calculate the LCM of 122, 456, 864, 723, 265?
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 122, 456, 864, 723, 265.
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}.