LCM of 105, 494, 836, 505, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 494, 836, 505, 270 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 105, 494, 836, 505, 270. So, keep reading to learn more.
Given numbers are 105,494,836,505,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,494,836,505,270 is 1037296260.
Find LCM of 105,494,836,505,270 with Prime Factorization
| 2 | 105, 494, 836, 505, 270 |
| 3 | 105, 247, 418, 505, 135 |
| 5 | 35, 247, 418, 505, 45 |
| 19 | 7, 247, 418, 101, 9 |
| 7, 13, 22, 101, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 7 x 13 x 22 x 101 x 9 = 1037296260
Therefore, the lowest common multiple of 105,494,836,505,270 is 1037296260.
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.
105 x 494 x 836 x 505 x 270 = 5912588682000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
494 : 1, 2, 13, 19, 26, 38, 247, 494
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
505 : 1, 5, 101, 505
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,494,836,505,270, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
494:2x 13x 19
836:2x 2x 11x 19
505:5x 101
270:2x 3x 3x 3x 5
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 5x 5x 19 = 5700
Therefore, the value for common factors is 5700.
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 = 5912588682000/(1x5700)
LCM = 5912588682000/5700
LCM = 1037296260
Thus, we can understand that the LCM of 105,494,836,505,270 is 1037296260.
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FAQs on LCM of 105, 494, 836, 505, 270
1. What is the LCM of 105, 494, 836, 505, 270?
Answer: LCM of 105, 494, 836, 505, 270 is 1037296260.
2. How to calculate the LCM of 105, 494, 836, 505, 270?
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 105, 494, 836, 505, 270.
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}.