Find the LCM of 513, 496, 194, 792, 963 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 513, 496, 194, 792, 963. So, keep reading to learn more.
Given numbers are 513,496,194,792,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,496,194,792,963 is 29050073712.
Find LCM of 513,496,194,792,963 with Prime Factorization
2 | 513, 496, 194, 792, 963 |
2 | 513, 248, 97, 396, 963 |
2 | 513, 124, 97, 198, 963 |
3 | 513, 62, 97, 99, 963 |
3 | 171, 62, 97, 33, 321 |
57, 62, 97, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 57 x 62 x 97 x 11 x 107 = 29050073712
Therefore, the lowest common multiple of 513,496,194,792,963 is 29050073712.
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.
513 x 496 x 194 x 792 x 963 = 37648895530752
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
194 : 1, 2, 97, 194
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,496,194,792,963, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
496:2x 2x 2x 2x 31
194:2x 97
792:2x 2x 2x 3x 3x 11
963:3x 3x 107
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 37648895530752/(1x1296)
LCM = 37648895530752/1296
LCM = 29050073712
Thus, we can understand that the LCM of 513,496,194,792,963 is 29050073712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 496, 194, 792, 963?
Answer: LCM of 513, 496, 194, 792, 963 is 29050073712.
2. How to calculate the LCM of 513, 496, 194, 792, 963?
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 513, 496, 194, 792, 963.
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}.