LCM of 736, 811, 789, 867, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 811, 789, 867, 986 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 736, 811, 789, 867, 986. So, keep reading to learn more.
Given numbers are 736,811,789,867,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,811,789,867,986 is 3947039861664.
Find LCM of 736,811,789,867,986 with Prime Factorization
| 2 | 736, 811, 789, 867, 986 |
| 3 | 368, 811, 789, 867, 493 |
| 17 | 368, 811, 263, 289, 493 |
| 368, 811, 263, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 368 x 811 x 263 x 17 x 29 = 3947039861664
Therefore, the lowest common multiple of 736,811,789,867,986 is 3947039861664.
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.
736 x 811 x 789 x 867 x 986 = 402598065889728
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
811 : 1, 811
789 : 1, 3, 263, 789
867 : 1, 3, 17, 51, 289, 867
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,811,789,867,986, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
811:811
789:3x 263
867:3x 17x 17
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 402598065889728/(1x102)
LCM = 402598065889728/102
LCM = 3947039861664
Thus, we can understand that the LCM of 736,811,789,867,986 is 3947039861664.
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FAQs on LCM of 736, 811, 789, 867, 986
1. What is the LCM of 736, 811, 789, 867, 986?
Answer: LCM of 736, 811, 789, 867, 986 is 3947039861664.
2. How to calculate the LCM of 736, 811, 789, 867, 986?
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 736, 811, 789, 867, 986.
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}.