Find the LCM of 952, 960, 243, 672, 442 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 952, 960, 243, 672, 442. So, keep reading to learn more.
Given numbers are 952,960,243,672,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,960,243,672,442 is 120294720.
Find LCM of 952,960,243,672,442 with Prime Factorization
2 | 952, 960, 243, 672, 442 |
2 | 476, 480, 243, 336, 221 |
2 | 238, 240, 243, 168, 221 |
2 | 119, 120, 243, 84, 221 |
2 | 119, 60, 243, 42, 221 |
3 | 119, 30, 243, 21, 221 |
7 | 119, 10, 81, 7, 221 |
17 | 17, 10, 81, 1, 221 |
1, 10, 81, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 1 x 10 x 81 x 1 x 13 = 120294720
Therefore, the lowest common multiple of 952,960,243,672,442 is 120294720.
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.
952 x 960 x 243 x 672 x 442 = 65963850301440
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
243 : 1, 3, 9, 27, 81, 243
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,960,243,672,442, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
960:2x 2x 2x 2x 2x 2x 3x 5
243:3x 3x 3x 3x 3
672:2x 2x 2x 2x 2x 3x 7
442:2x 13x 17
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 2x 2x 2x 2x 3x 3x 7x 17 = 548352
Therefore, the value for common factors is 548352.
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 = 65963850301440/(1x548352)
LCM = 65963850301440/548352
LCM = 120294720
Thus, we can understand that the LCM of 952,960,243,672,442 is 120294720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 960, 243, 672, 442?
Answer: LCM of 952, 960, 243, 672, 442 is 120294720.
2. How to calculate the LCM of 952, 960, 243, 672, 442?
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 952, 960, 243, 672, 442.
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}.