LCM of 310, 460, 685, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 460, 685, 897 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 310, 460, 685, 897. So, keep reading to learn more.
Given numbers are 310,460,685,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,460,685,897 is 76191180.
Find LCM of 310,460,685,897 with Prime Factorization
| 2 | 310, 460, 685, 897 |
| 5 | 155, 230, 685, 897 |
| 23 | 31, 46, 137, 897 |
| 31, 2, 137, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 31 x 2 x 137 x 39 = 76191180
Therefore, the lowest common multiple of 310,460,685,897 is 76191180.
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.
310 x 460 x 685 x 897 = 87619857000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
685 : 1, 5, 137, 685
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,460,685,897, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
460:2x 2x 5x 23
685:5x 137
897:3x 13x 23
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 5x 23 = 1150
Therefore, the value for common factors is 1150.
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 = 87619857000/(1x1150)
LCM = 87619857000/1150
LCM = 76191180
Thus, we can understand that the LCM of 310,460,685,897 is 76191180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 460, 685, 897
1. What is the LCM of 310, 460, 685, 897?
Answer: LCM of 310, 460, 685, 897 is 76191180.
2. How to calculate the LCM of 310, 460, 685, 897?
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 310, 460, 685, 897.
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}.