LCM of 842, 806, 696, 143, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 806, 696, 143, 460 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 842, 806, 696, 143, 460. So, keep reading to learn more.
Given numbers are 842,806,696,143,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,806,696,143,460 is 149378091720.
Find LCM of 842,806,696,143,460 with Prime Factorization
| 2 | 842, 806, 696, 143, 460 |
| 2 | 421, 403, 348, 143, 230 |
| 13 | 421, 403, 174, 143, 115 |
| 421, 31, 174, 11, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 421 x 31 x 174 x 11 x 115 = 149378091720
Therefore, the lowest common multiple of 842,806,696,143,460 is 149378091720.
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.
842 x 806 x 696 x 143 x 460 = 31070643077760
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.
842 : 1, 2, 421, 842
806 : 1, 2, 13, 26, 31, 62, 403, 806
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
143 : 1, 11, 13, 143
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,806,696,143,460, is 1.
Now, the common factors can be found like this.
842:2x 421
806:2x 13x 31
696:2x 2x 2x 3x 29
143:11x 13
460:2x 2x 5x 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 2x 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 31070643077760/(1x208)
LCM = 31070643077760/208
LCM = 149378091720
Thus, we can understand that the LCM of 842,806,696,143,460 is 149378091720.
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FAQs on LCM of 842, 806, 696, 143, 460
1. What is the LCM of 842, 806, 696, 143, 460?
Answer: LCM of 842, 806, 696, 143, 460 is 149378091720.
2. How to calculate the LCM of 842, 806, 696, 143, 460?
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 842, 806, 696, 143, 460.
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}.