LCM of 168, 360, 404, 218, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 360, 404, 218, 456 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 168, 360, 404, 218, 456. So, keep reading to learn more.
Given numbers are 168,360,404,218,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,360,404,218,456 is 527110920.
Find LCM of 168,360,404,218,456 with Prime Factorization
| 2 | 168, 360, 404, 218, 456 |
| 2 | 84, 180, 202, 109, 228 |
| 2 | 42, 90, 101, 109, 114 |
| 3 | 21, 45, 101, 109, 57 |
| 7, 15, 101, 109, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 15 x 101 x 109 x 19 = 527110920
Therefore, the lowest common multiple of 168,360,404,218,456 is 527110920.
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.
168 x 360 x 404 x 218 x 456 = 2428927119360
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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
404 : 1, 2, 4, 101, 202, 404
218 : 1, 2, 109, 218
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,360,404,218,456, is 2.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
360:2x 2x 2x 3x 3x 5
404:2x 2x 101
218:2x 109
456:2x 2x 2x 3x 19
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 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 2428927119360/(2x2304)
LCM = 2428927119360/4608
LCM = 527110920
Thus, we can understand that the LCM of 168,360,404,218,456 is 527110920.
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FAQs on LCM of 168, 360, 404, 218, 456
1. What is the LCM of 168, 360, 404, 218, 456?
Answer: LCM of 168, 360, 404, 218, 456 is 527110920.
2. How to calculate the LCM of 168, 360, 404, 218, 456?
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 168, 360, 404, 218, 456.
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}.