Find the LCM of 452, 616, 404, 343 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 452, 616, 404, 343. So, keep reading to learn more.
Given numbers are 452,616,404,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,616,404,343 is 344489992.
Find LCM of 452,616,404,343 with Prime Factorization
2 | 452, 616, 404, 343 |
2 | 226, 308, 202, 343 |
7 | 113, 154, 101, 343 |
113, 22, 101, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 113 x 22 x 101 x 49 = 344489992
Therefore, the lowest common multiple of 452,616,404,343 is 344489992.
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.
452 x 616 x 404 x 343 = 38582879104
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.
452 : 1, 2, 4, 113, 226, 452
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
404 : 1, 2, 4, 101, 202, 404
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,616,404,343, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
616:2x 2x 2x 7x 11
404:2x 2x 101
343:7x 7x 7
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 7 = 112
Therefore, the value for common factors is 112.
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 = 38582879104/(1x112)
LCM = 38582879104/112
LCM = 344489992
Thus, we can understand that the LCM of 452,616,404,343 is 344489992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 616, 404, 343?
Answer: LCM of 452, 616, 404, 343 is 344489992.
2. How to calculate the LCM of 452, 616, 404, 343?
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 452, 616, 404, 343.
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}.