LCM of 493, 882, 457, 392, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 882, 457, 392, 285 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 493, 882, 457, 392, 285. So, keep reading to learn more.
Given numbers are 493,882,457,392,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,882,457,392,285 is 75511883160.
Find LCM of 493,882,457,392,285 with Prime Factorization
| 2 | 493, 882, 457, 392, 285 |
| 3 | 493, 441, 457, 196, 285 |
| 7 | 493, 147, 457, 196, 95 |
| 7 | 493, 21, 457, 28, 95 |
| 493, 3, 457, 4, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 493 x 3 x 457 x 4 x 95 = 75511883160
Therefore, the lowest common multiple of 493,882,457,392,285 is 75511883160.
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.
493 x 882 x 457 x 392 x 285 = 22200493649040
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.
493 : 1, 17, 29, 493
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
457 : 1, 457
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,882,457,392,285, is 1.
Now, the common factors can be found like this.
493:17x 29
882:2x 3x 3x 7x 7
457:457
392:2x 2x 2x 7x 7
285:3x 5x 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 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 22200493649040/(1x294)
LCM = 22200493649040/294
LCM = 75511883160
Thus, we can understand that the LCM of 493,882,457,392,285 is 75511883160.
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FAQs on LCM of 493, 882, 457, 392, 285
1. What is the LCM of 493, 882, 457, 392, 285?
Answer: LCM of 493, 882, 457, 392, 285 is 75511883160.
2. How to calculate the LCM of 493, 882, 457, 392, 285?
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 493, 882, 457, 392, 285.
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}.