LCM of 506, 322, 682, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 322, 682, 167 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 506, 322, 682, 167. So, keep reading to learn more.
Given numbers are 506,322,682,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,322,682,167 is 18336934.
Find LCM of 506,322,682,167 with Prime Factorization
| 2 | 506, 322, 682, 167 |
| 11 | 253, 161, 341, 167 |
| 23 | 23, 161, 31, 167 |
| 1, 7, 31, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 1 x 7 x 31 x 167 = 18336934
Therefore, the lowest common multiple of 506,322,682,167 is 18336934.
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.
506 x 322 x 682 x 167 = 18556977208
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
322 : 1, 2, 7, 14, 23, 46, 161, 322
682 : 1, 2, 11, 22, 31, 62, 341, 682
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,322,682,167, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
322:2x 7x 23
682:2x 11x 31
167:167
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 18556977208/(1x1012)
LCM = 18556977208/1012
LCM = 18336934
Thus, we can understand that the LCM of 506,322,682,167 is 18336934.
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FAQs on LCM of 506, 322, 682, 167
1. What is the LCM of 506, 322, 682, 167?
Answer: LCM of 506, 322, 682, 167 is 18336934.
2. How to calculate the LCM of 506, 322, 682, 167?
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 506, 322, 682, 167.
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}.