LCM of 346, 968, 796, 517, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 968, 796, 517, 212 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 346, 968, 796, 517, 212. So, keep reading to learn more.
Given numbers are 346,968,796,517,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,968,796,517,212 is 83013411976.
Find LCM of 346,968,796,517,212 with Prime Factorization
| 2 | 346, 968, 796, 517, 212 |
| 2 | 173, 484, 398, 517, 106 |
| 11 | 173, 242, 199, 517, 53 |
| 173, 22, 199, 47, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 173 x 22 x 199 x 47 x 53 = 83013411976
Therefore, the lowest common multiple of 346,968,796,517,212 is 83013411976.
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.
346 x 968 x 796 x 517 x 212 = 29220721015552
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.
346 : 1, 2, 173, 346
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
796 : 1, 2, 4, 199, 398, 796
517 : 1, 11, 47, 517
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,968,796,517,212, is 1.
Now, the common factors can be found like this.
346:2x 173
968:2x 2x 2x 11x 11
796:2x 2x 199
517:11x 47
212:2x 2x 53
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 11 = 352
Therefore, the value for common factors is 352.
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 = 29220721015552/(1x352)
LCM = 29220721015552/352
LCM = 83013411976
Thus, we can understand that the LCM of 346,968,796,517,212 is 83013411976.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 346, 968, 796, 517, 212
1. What is the LCM of 346, 968, 796, 517, 212?
Answer: LCM of 346, 968, 796, 517, 212 is 83013411976.
2. How to calculate the LCM of 346, 968, 796, 517, 212?
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 346, 968, 796, 517, 212.
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}.