LCM of 985, 574, 410, 462, 625
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 574, 410, 462, 625 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, 574, 410, 462, 625. So, keep reading to learn more.
Given numbers are 985,574,410,462,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,574,410,462,625 is 2332233750.
Find LCM of 985,574,410,462,625 with Prime Factorization
| 2 | 985, 574, 410, 462, 625 |
| 5 | 985, 287, 205, 231, 625 |
| 7 | 197, 287, 41, 231, 125 |
| 41 | 197, 41, 41, 33, 125 |
| 197, 1, 1, 33, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 41 x 197 x 1 x 1 x 33 x 125 = 2332233750
Therefore, the lowest common multiple of 985,574,410,462,625 is 2332233750.
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 574 x 410 x 462 x 625 = 66935108625000
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
574 : 1, 2, 7, 14, 41, 82, 287, 574
410 : 1, 2, 5, 10, 41, 82, 205, 410
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,574,410,462,625, is 1.
Now, the common factors can be found like this.
985:5x 197
574:2x 7x 41
410:2x 5x 41
462:2x 3x 7x 11
625:5x 5x 5x 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 5x 5x 7x 41 = 28700
Therefore, the value for common factors is 28700.
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 = 66935108625000/(1x28700)
LCM = 66935108625000/28700
LCM = 2332233750
Thus, we can understand that the LCM of 985,574,410,462,625 is 2332233750.
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FAQs on LCM of 985, 574, 410, 462, 625
1. What is the LCM of 985, 574, 410, 462, 625?
Answer: LCM of 985, 574, 410, 462, 625 is 2332233750.
2. How to calculate the LCM of 985, 574, 410, 462, 625?
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, 574, 410, 462, 625.
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}.