LCM of 503, 120, 460, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 503, 120, 460, 880 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 503, 120, 460, 880. So, keep reading to learn more.
Given numbers are 503,120,460,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,120,460,880 is 30542160.
Find LCM of 503,120,460,880 with Prime Factorization
| 2 | 503, 120, 460, 880 |
| 2 | 503, 60, 230, 440 |
| 2 | 503, 30, 115, 220 |
| 5 | 503, 15, 115, 110 |
| 503, 3, 23, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 503 x 3 x 23 x 22 = 30542160
Therefore, the lowest common multiple of 503,120,460,880 is 30542160.
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.
503 x 120 x 460 x 880 = 24433728000
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.
503 : 1, 503
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,120,460,880, is 1.
Now, the common factors can be found like this.
503:503
120:2x 2x 2x 3x 5
460:2x 2x 5x 23
880:2x 2x 2x 2x 5x 11
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 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 24433728000/(1x800)
LCM = 24433728000/800
LCM = 30542160
Thus, we can understand that the LCM of 503,120,460,880 is 30542160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 503, 120, 460, 880
1. What is the LCM of 503, 120, 460, 880?
Answer: LCM of 503, 120, 460, 880 is 30542160.
2. How to calculate the LCM of 503, 120, 460, 880?
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 503, 120, 460, 880.
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}.