LCM of 507, 495, 806, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 495, 806, 327 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 507, 495, 806, 327. So, keep reading to learn more.
Given numbers are 507,495,806,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,495,806,327 is 565340490.
Find LCM of 507,495,806,327 with Prime Factorization
| 3 | 507, 495, 806, 327 |
| 13 | 169, 165, 806, 109 |
| 13, 165, 62, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 13 x 165 x 62 x 109 = 565340490
Therefore, the lowest common multiple of 507,495,806,327 is 565340490.
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.
507 x 495 x 806 x 327 = 66144837330
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.
507 : 1, 3, 13, 39, 169, 507
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
806 : 1, 2, 13, 26, 31, 62, 403, 806
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,495,806,327, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
495:3x 3x 5x 11
806:2x 13x 31
327:3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 66144837330/(1x117)
LCM = 66144837330/117
LCM = 565340490
Thus, we can understand that the LCM of 507,495,806,327 is 565340490.
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FAQs on LCM of 507, 495, 806, 327
1. What is the LCM of 507, 495, 806, 327?
Answer: LCM of 507, 495, 806, 327 is 565340490.
2. How to calculate the LCM of 507, 495, 806, 327?
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 507, 495, 806, 327.
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}.