Find the LCM of 933, 798, 732, 489, 961 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 933, 798, 732, 489, 961. So, keep reading to learn more.
Given numbers are 933,798,732,489,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,798,732,489,961 is 4742792267388.
Find LCM of 933,798,732,489,961 with Prime Factorization
2 | 933, 798, 732, 489, 961 |
3 | 933, 399, 366, 489, 961 |
311, 133, 122, 163, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 311 x 133 x 122 x 163 x 961 = 4742792267388
Therefore, the lowest common multiple of 933,798,732,489,961 is 4742792267388.
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.
933 x 798 x 732 x 489 x 961 = 256110782438952
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.
933 : 1, 3, 311, 933
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
489 : 1, 3, 163, 489
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,798,732,489,961, is 1.
Now, the common factors can be found like this.
933:3x 311
798:2x 3x 7x 19
732:2x 2x 3x 61
489:3x 163
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 256110782438952/(1x54)
LCM = 256110782438952/54
LCM = 4742792267388
Thus, we can understand that the LCM of 933,798,732,489,961 is 4742792267388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 933, 798, 732, 489, 961?
Answer: LCM of 933, 798, 732, 489, 961 is 4742792267388.
2. How to calculate the LCM of 933, 798, 732, 489, 961?
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 933, 798, 732, 489, 961.
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}.