LCM of 985, 406, 715, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 406, 715, 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 985, 406, 715, 385. So, keep reading to learn more.
Given numbers are 985,406,715,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,406,715,385 is 57187130.
Find LCM of 985,406,715,385 with Prime Factorization
| 5 | 985, 406, 715, 385 |
| 7 | 197, 406, 143, 77 |
| 11 | 197, 58, 143, 11 |
| 197, 58, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 197 x 58 x 13 x 1 = 57187130
Therefore, the lowest common multiple of 985,406,715,385 is 57187130.
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.
985 x 406 x 715 x 385 = 110085225250
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.
985 : 1, 5, 197, 985
406 : 1, 2, 7, 14, 29, 58, 203, 406
715 : 1, 5, 11, 13, 55, 65, 143, 715
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 985,406,715,385, is 1.
Now, the common factors can be found like this.
985:5x 197
406:2x 7x 29
715:5x 11x 13
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.
5x 5x 7x 11 = 1925
Therefore, the value for common factors is 1925.
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 = 110085225250/(1x1925)
LCM = 110085225250/1925
LCM = 57187130
Thus, we can understand that the LCM of 985,406,715,385 is 57187130.
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FAQs on LCM of 985, 406, 715, 385
1. What is the LCM of 985, 406, 715, 385?
Answer: LCM of 985, 406, 715, 385 is 57187130.
2. How to calculate the LCM of 985, 406, 715, 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 985, 406, 715, 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}.