LCM of 816, 427, 751, 834, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 427, 751, 834, 414 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 816, 427, 751, 834, 414. So, keep reading to learn more.
Given numbers are 816,427,751,834,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,427,751,834,414 is 2509700295312.
Find LCM of 816,427,751,834,414 with Prime Factorization
| 2 | 816, 427, 751, 834, 414 |
| 3 | 408, 427, 751, 417, 207 |
| 136, 427, 751, 139, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 136 x 427 x 751 x 139 x 69 = 2509700295312
Therefore, the lowest common multiple of 816,427,751,834,414 is 2509700295312.
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.
816 x 427 x 751 x 834 x 414 = 90349210631232
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
427 : 1, 7, 61, 427
751 : 1, 751
834 : 1, 2, 3, 6, 139, 278, 417, 834
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,427,751,834,414, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
427:7x 61
751:751
834:2x 3x 139
414:2x 3x 3x 23
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 3 = 36
Therefore, the value for common factors is 36.
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 = 90349210631232/(1x36)
LCM = 90349210631232/36
LCM = 2509700295312
Thus, we can understand that the LCM of 816,427,751,834,414 is 2509700295312.
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FAQs on LCM of 816, 427, 751, 834, 414
1. What is the LCM of 816, 427, 751, 834, 414?
Answer: LCM of 816, 427, 751, 834, 414 is 2509700295312.
2. How to calculate the LCM of 816, 427, 751, 834, 414?
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 816, 427, 751, 834, 414.
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}.