Find the LCM of 598, 320, 616, 331, 952 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 598, 320, 616, 331, 952. So, keep reading to learn more.
Given numbers are 598,320,616,331,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,320,616,331,952 is 41456134720.
Find LCM of 598,320,616,331,952 with Prime Factorization
2 | 598, 320, 616, 331, 952 |
2 | 299, 160, 308, 331, 476 |
2 | 299, 80, 154, 331, 238 |
7 | 299, 40, 77, 331, 119 |
299, 40, 11, 331, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 299 x 40 x 11 x 331 x 17 = 41456134720
Therefore, the lowest common multiple of 598,320,616,331,952 is 41456134720.
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.
598 x 320 x 616 x 331 x 952 = 37144696709120
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
331 : 1, 331
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,320,616,331,952, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
320:2x 2x 2x 2x 2x 2x 5
616:2x 2x 2x 7x 11
331:331
952:2x 2x 2x 7x 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 7 = 896
Therefore, the value for common factors is 896.
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 = 37144696709120/(1x896)
LCM = 37144696709120/896
LCM = 41456134720
Thus, we can understand that the LCM of 598,320,616,331,952 is 41456134720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 320, 616, 331, 952?
Answer: LCM of 598, 320, 616, 331, 952 is 41456134720.
2. How to calculate the LCM of 598, 320, 616, 331, 952?
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 598, 320, 616, 331, 952.
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}.