Find the LCM of 198, 792, 713, 968, 269 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 198, 792, 713, 968, 269. So, keep reading to learn more.
Given numbers are 198,792,713,968,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,792,713,968,269 is 1670935464.
Find LCM of 198,792,713,968,269 with Prime Factorization
2 | 198, 792, 713, 968, 269 |
2 | 99, 396, 713, 484, 269 |
2 | 99, 198, 713, 242, 269 |
3 | 99, 99, 713, 121, 269 |
3 | 33, 33, 713, 121, 269 |
11 | 11, 11, 713, 121, 269 |
1, 1, 713, 11, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 1 x 1 x 713 x 11 x 269 = 1670935464
Therefore, the lowest common multiple of 198,792,713,968,269 is 1670935464.
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.
198 x 792 x 713 x 968 x 269 = 29114379524736
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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
713 : 1, 23, 31, 713
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,792,713,968,269, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
792:2x 2x 2x 3x 3x 11
713:23x 31
968:2x 2x 2x 11x 11
269:269
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 11x 11 = 17424
Therefore, the value for common factors is 17424.
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 = 29114379524736/(1x17424)
LCM = 29114379524736/17424
LCM = 1670935464
Thus, we can understand that the LCM of 198,792,713,968,269 is 1670935464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 792, 713, 968, 269?
Answer: LCM of 198, 792, 713, 968, 269 is 1670935464.
2. How to calculate the LCM of 198, 792, 713, 968, 269?
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 198, 792, 713, 968, 269.
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}.