LCM of 867, 163, 243, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 163, 243, 493 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 867, 163, 243, 493. So, keep reading to learn more.
Given numbers are 867,163,243,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,163,243,493 is 331963029.
Find LCM of 867,163,243,493 with Prime Factorization
| 3 | 867, 163, 243, 493 |
| 17 | 289, 163, 81, 493 |
| 17, 163, 81, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 17 x 163 x 81 x 29 = 331963029
Therefore, the lowest common multiple of 867,163,243,493 is 331963029.
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.
867 x 163 x 243 x 493 = 16930114479
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.
867 : 1, 3, 17, 51, 289, 867
163 : 1, 163
243 : 1, 3, 9, 27, 81, 243
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,163,243,493, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
163:163
243:3x 3x 3x 3x 3
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 16930114479/(1x51)
LCM = 16930114479/51
LCM = 331963029
Thus, we can understand that the LCM of 867,163,243,493 is 331963029.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 867, 163, 243, 493
1. What is the LCM of 867, 163, 243, 493?
Answer: LCM of 867, 163, 243, 493 is 331963029.
2. How to calculate the LCM of 867, 163, 243, 493?
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 867, 163, 243, 493.
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}.