LCM of 506, 322, 507, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 322, 507, 338 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, 507, 338. So, keep reading to learn more.
Given numbers are 506,322,507,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,322,507,338 is 1795794.
Find LCM of 506,322,507,338 with Prime Factorization
| 2 | 506, 322, 507, 338 |
| 13 | 253, 161, 507, 169 |
| 13 | 253, 161, 39, 13 |
| 23 | 253, 161, 3, 1 |
| 11, 7, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 23 x 11 x 7 x 3 x 1 = 1795794
Therefore, the lowest common multiple of 506,322,507,338 is 1795794.
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 507 x 338 = 27921005112
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
507 : 1, 3, 13, 39, 169, 507
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,322,507,338, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
322:2x 7x 23
507:3x 13x 13
338:2x 13x 13
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 13x 13x 23 = 15548
Therefore, the value for common factors is 15548.
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 = 27921005112/(1x15548)
LCM = 27921005112/15548
LCM = 1795794
Thus, we can understand that the LCM of 506,322,507,338 is 1795794.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 506, 322, 507, 338
1. What is the LCM of 506, 322, 507, 338?
Answer: LCM of 506, 322, 507, 338 is 1795794.
2. How to calculate the LCM of 506, 322, 507, 338?
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, 507, 338.
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}.