Find the LCM of 561, 954, 998, 387, 958 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 561, 954, 998, 387, 958. So, keep reading to learn more.
Given numbers are 561,954,998,387,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,954,998,387,958 is 1833557339394.
Find LCM of 561,954,998,387,958 with Prime Factorization
2 | 561, 954, 998, 387, 958 |
3 | 561, 477, 499, 387, 479 |
3 | 187, 159, 499, 129, 479 |
187, 53, 499, 43, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 187 x 53 x 499 x 43 x 479 = 1833557339394
Therefore, the lowest common multiple of 561,954,998,387,958 is 1833557339394.
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.
561 x 954 x 998 x 387 x 958 = 198024192654552
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
998 : 1, 2, 499, 998
387 : 1, 3, 9, 43, 129, 387
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,954,998,387,958, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
954:2x 3x 3x 53
998:2x 499
387:3x 3x 43
958:2x 479
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 198024192654552/(1x108)
LCM = 198024192654552/108
LCM = 1833557339394
Thus, we can understand that the LCM of 561,954,998,387,958 is 1833557339394.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 954, 998, 387, 958?
Answer: LCM of 561, 954, 998, 387, 958 is 1833557339394.
2. How to calculate the LCM of 561, 954, 998, 387, 958?
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 561, 954, 998, 387, 958.
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}.