LCM of 420, 585, 933, 997, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 585, 933, 997, 460 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 420, 585, 933, 997, 460. So, keep reading to learn more.
Given numbers are 420,585,933,997,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,585,933,997,460 is 116814641580.
Find LCM of 420,585,933,997,460 with Prime Factorization
| 2 | 420, 585, 933, 997, 460 |
| 2 | 210, 585, 933, 997, 230 |
| 3 | 105, 585, 933, 997, 115 |
| 5 | 35, 195, 311, 997, 115 |
| 7, 39, 311, 997, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 39 x 311 x 997 x 23 = 116814641580
Therefore, the lowest common multiple of 420,585,933,997,460 is 116814641580.
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.
420 x 585 x 933 x 997 x 460 = 105133177422000
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
933 : 1, 3, 311, 933
997 : 1, 997
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,585,933,997,460, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
585:3x 3x 5x 13
933:3x 311
997:997
460:2x 2x 5x 23
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 105133177422000/(1x900)
LCM = 105133177422000/900
LCM = 116814641580
Thus, we can understand that the LCM of 420,585,933,997,460 is 116814641580.
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FAQs on LCM of 420, 585, 933, 997, 460
1. What is the LCM of 420, 585, 933, 997, 460?
Answer: LCM of 420, 585, 933, 997, 460 is 116814641580.
2. How to calculate the LCM of 420, 585, 933, 997, 460?
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 420, 585, 933, 997, 460.
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}.