LCM of 327, 506, 437, 405, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 506, 437, 405, 360 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 327, 506, 437, 405, 360. So, keep reading to learn more.
Given numbers are 327,506,437,405,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,506,437,405,360 is 1697640120.
Find LCM of 327,506,437,405,360 with Prime Factorization
| 2 | 327, 506, 437, 405, 360 |
| 3 | 327, 253, 437, 405, 180 |
| 3 | 109, 253, 437, 135, 60 |
| 5 | 109, 253, 437, 45, 20 |
| 23 | 109, 253, 437, 9, 4 |
| 109, 11, 19, 9, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 109 x 11 x 19 x 9 x 4 = 1697640120
Therefore, the lowest common multiple of 327,506,437,405,360 is 1697640120.
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.
327 x 506 x 437 x 405 x 360 = 10542345145200
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.
327 : 1, 3, 109, 327
506 : 1, 2, 11, 22, 23, 46, 253, 506
437 : 1, 19, 23, 437
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,506,437,405,360, is 1.
Now, the common factors can be found like this.
327:3x 109
506:2x 11x 23
437:19x 23
405:3x 3x 3x 3x 5
360:2x 2x 2x 3x 3x 5
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 3x 3x 5x 23 = 6210
Therefore, the value for common factors is 6210.
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 = 10542345145200/(1x6210)
LCM = 10542345145200/6210
LCM = 1697640120
Thus, we can understand that the LCM of 327,506,437,405,360 is 1697640120.
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FAQs on LCM of 327, 506, 437, 405, 360
1. What is the LCM of 327, 506, 437, 405, 360?
Answer: LCM of 327, 506, 437, 405, 360 is 1697640120.
2. How to calculate the LCM of 327, 506, 437, 405, 360?
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 327, 506, 437, 405, 360.
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}.