LCM of 696, 213, 519, 796, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 213, 519, 796, 741 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 696, 213, 519, 796, 741. So, keep reading to learn more.
Given numbers are 696,213,519,796,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,213,519,796,741 is 420207424104.
Find LCM of 696,213,519,796,741 with Prime Factorization
| 2 | 696, 213, 519, 796, 741 |
| 2 | 348, 213, 519, 398, 741 |
| 3 | 174, 213, 519, 199, 741 |
| 58, 71, 173, 199, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 58 x 71 x 173 x 199 x 247 = 420207424104
Therefore, the lowest common multiple of 696,213,519,796,741 is 420207424104.
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.
696 x 213 x 519 x 796 x 741 = 45382401803232
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
213 : 1, 3, 71, 213
519 : 1, 3, 173, 519
796 : 1, 2, 4, 199, 398, 796
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,213,519,796,741, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
213:3x 71
519:3x 173
796:2x 2x 199
741:3x 13x 19
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 = 45382401803232/(1x108)
LCM = 45382401803232/108
LCM = 420207424104
Thus, we can understand that the LCM of 696,213,519,796,741 is 420207424104.
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FAQs on LCM of 696, 213, 519, 796, 741
1. What is the LCM of 696, 213, 519, 796, 741?
Answer: LCM of 696, 213, 519, 796, 741 is 420207424104.
2. How to calculate the LCM of 696, 213, 519, 796, 741?
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 696, 213, 519, 796, 741.
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}.