LCM of 800, 494, 174, 234, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 494, 174, 234, 286 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 800, 494, 174, 234, 286. So, keep reading to learn more.
Given numbers are 800,494,174,234,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,494,174,234,286 is 567309600.
Find LCM of 800,494,174,234,286 with Prime Factorization
| 2 | 800, 494, 174, 234, 286 |
| 3 | 400, 247, 87, 117, 143 |
| 13 | 400, 247, 29, 39, 143 |
| 400, 19, 29, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 400 x 19 x 29 x 3 x 11 = 567309600
Therefore, the lowest common multiple of 800,494,174,234,286 is 567309600.
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.
800 x 494 x 174 x 234 x 286 = 4602015475200
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
494 : 1, 2, 13, 19, 26, 38, 247, 494
174 : 1, 2, 3, 6, 29, 58, 87, 174
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
286 : 1, 2, 11, 13, 22, 26, 143, 286
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,494,174,234,286, is 2.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
494:2x 13x 19
174:2x 3x 29
234:2x 3x 3x 13
286:2x 11x 13
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 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 4602015475200/(2x4056)
LCM = 4602015475200/8112
LCM = 567309600
Thus, we can understand that the LCM of 800,494,174,234,286 is 567309600.
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FAQs on LCM of 800, 494, 174, 234, 286
1. What is the LCM of 800, 494, 174, 234, 286?
Answer: LCM of 800, 494, 174, 234, 286 is 567309600.
2. How to calculate the LCM of 800, 494, 174, 234, 286?
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 800, 494, 174, 234, 286.
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}.