LCM of 903, 504, 464, 420, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 504, 464, 420, 226 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 903, 504, 464, 420, 226. So, keep reading to learn more.
Given numbers are 903,504,464,420,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,504,464,420,226 is 710191440.
Find LCM of 903,504,464,420,226 with Prime Factorization
| 2 | 903, 504, 464, 420, 226 |
| 2 | 903, 252, 232, 210, 113 |
| 2 | 903, 126, 116, 105, 113 |
| 3 | 903, 63, 58, 105, 113 |
| 7 | 301, 21, 58, 35, 113 |
| 43, 3, 58, 5, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 43 x 3 x 58 x 5 x 113 = 710191440
Therefore, the lowest common multiple of 903,504,464,420,226 is 710191440.
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.
903 x 504 x 464 x 420 x 226 = 20044443202560
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,504,464,420,226, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
504:2x 2x 2x 3x 3x 7
464:2x 2x 2x 2x 29
420:2x 2x 3x 5x 7
226:2x 113
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 3x 7x 7 = 28224
Therefore, the value for common factors is 28224.
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 = 20044443202560/(1x28224)
LCM = 20044443202560/28224
LCM = 710191440
Thus, we can understand that the LCM of 903,504,464,420,226 is 710191440.
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FAQs on LCM of 903, 504, 464, 420, 226
1. What is the LCM of 903, 504, 464, 420, 226?
Answer: LCM of 903, 504, 464, 420, 226 is 710191440.
2. How to calculate the LCM of 903, 504, 464, 420, 226?
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 903, 504, 464, 420, 226.
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}.