LCM of 743, 170, 814, 629, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 170, 814, 629, 385 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 743, 170, 814, 629, 385. So, keep reading to learn more.
Given numbers are 743,170,814,629,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,170,814,629,385 is 359857190.
Find LCM of 743,170,814,629,385 with Prime Factorization
| 2 | 743, 170, 814, 629, 385 |
| 5 | 743, 85, 407, 629, 385 |
| 11 | 743, 17, 407, 629, 77 |
| 17 | 743, 17, 37, 629, 7 |
| 37 | 743, 1, 37, 37, 7 |
| 743, 1, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 37 x 743 x 1 x 1 x 1 x 7 = 359857190
Therefore, the lowest common multiple of 743,170,814,629,385 is 359857190.
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.
743 x 170 x 814 x 629 x 385 = 24898518976100
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.
743 : 1, 743
170 : 1, 2, 5, 10, 17, 34, 85, 170
814 : 1, 2, 11, 22, 37, 74, 407, 814
629 : 1, 17, 37, 629
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,170,814,629,385, is 1.
Now, the common factors can be found like this.
743:743
170:2x 5x 17
814:2x 11x 37
629:17x 37
385:5x 7x 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 5x 11x 17x 37 = 69190
Therefore, the value for common factors is 69190.
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 = 24898518976100/(1x69190)
LCM = 24898518976100/69190
LCM = 359857190
Thus, we can understand that the LCM of 743,170,814,629,385 is 359857190.
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FAQs on LCM of 743, 170, 814, 629, 385
1. What is the LCM of 743, 170, 814, 629, 385?
Answer: LCM of 743, 170, 814, 629, 385 is 359857190.
2. How to calculate the LCM of 743, 170, 814, 629, 385?
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 743, 170, 814, 629, 385.
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}.