LCM of 264, 412, 662, 485, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 412, 662, 485, 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 264, 412, 662, 485, 360. So, keep reading to learn more.
Given numbers are 264,412,662,485,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,412,662,485,360 is 13095803160.
Find LCM of 264,412,662,485,360 with Prime Factorization
| 2 | 264, 412, 662, 485, 360 |
| 2 | 132, 206, 331, 485, 180 |
| 2 | 66, 103, 331, 485, 90 |
| 3 | 33, 103, 331, 485, 45 |
| 5 | 11, 103, 331, 485, 15 |
| 11, 103, 331, 97, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 103 x 331 x 97 x 3 = 13095803160
Therefore, the lowest common multiple of 264,412,662,485,360 is 13095803160.
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.
264 x 412 x 662 x 485 x 360 = 12571971033600
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
412 : 1, 2, 4, 103, 206, 412
662 : 1, 2, 331, 662
485 : 1, 5, 97, 485
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 264,412,662,485,360, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
412:2x 2x 103
662:2x 331
485:5x 97
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 2x 2x 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 12571971033600/(1x960)
LCM = 12571971033600/960
LCM = 13095803160
Thus, we can understand that the LCM of 264,412,662,485,360 is 13095803160.
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FAQs on LCM of 264, 412, 662, 485, 360
1. What is the LCM of 264, 412, 662, 485, 360?
Answer: LCM of 264, 412, 662, 485, 360 is 13095803160.
2. How to calculate the LCM of 264, 412, 662, 485, 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 264, 412, 662, 485, 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}.