Find the LCM of 460, 296, 121, 286, 644 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 460, 296, 121, 286, 644. So, keep reading to learn more.
Given numbers are 460,296,121,286,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,296,121,286,644 is 374814440.
Find LCM of 460,296,121,286,644 with Prime Factorization
2 | 460, 296, 121, 286, 644 |
2 | 230, 148, 121, 143, 322 |
11 | 115, 74, 121, 143, 161 |
23 | 115, 74, 11, 13, 161 |
5, 74, 11, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 5 x 74 x 11 x 13 x 7 = 374814440
Therefore, the lowest common multiple of 460,296,121,286,644 is 374814440.
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.
460 x 296 x 121 x 286 x 644 = 3034497706240
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
296 : 1, 2, 4, 8, 37, 74, 148, 296
121 : 1, 11, 121
286 : 1, 2, 11, 13, 22, 26, 143, 286
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,296,121,286,644, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
296:2x 2x 2x 37
121:11x 11
286:2x 11x 13
644:2x 2x 7x 23
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 2x 11x 23 = 8096
Therefore, the value for common factors is 8096.
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 = 3034497706240/(1x8096)
LCM = 3034497706240/8096
LCM = 374814440
Thus, we can understand that the LCM of 460,296,121,286,644 is 374814440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 296, 121, 286, 644?
Answer: LCM of 460, 296, 121, 286, 644 is 374814440.
2. How to calculate the LCM of 460, 296, 121, 286, 644?
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 460, 296, 121, 286, 644.
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}.