LCM of 345, 897, 310, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 897, 310, 682 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 345, 897, 310, 682. So, keep reading to learn more.
Given numbers are 345,897,310,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,897,310,682 is 3058770.
Find LCM of 345,897,310,682 with Prime Factorization
| 2 | 345, 897, 310, 682 |
| 3 | 345, 897, 155, 341 |
| 5 | 115, 299, 155, 341 |
| 23 | 23, 299, 31, 341 |
| 31 | 1, 13, 31, 341 |
| 1, 13, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 31 x 1 x 13 x 1 x 11 = 3058770
Therefore, the lowest common multiple of 345,897,310,682 is 3058770.
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.
345 x 897 x 310 x 682 = 65427090300
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
897 : 1, 3, 13, 23, 39, 69, 299, 897
310 : 1, 2, 5, 10, 31, 62, 155, 310
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,897,310,682, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
897:3x 13x 23
310:2x 5x 31
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 23x 31 = 21390
Therefore, the value for common factors is 21390.
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 = 65427090300/(1x21390)
LCM = 65427090300/21390
LCM = 3058770
Thus, we can understand that the LCM of 345,897,310,682 is 3058770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 897, 310, 682
1. What is the LCM of 345, 897, 310, 682?
Answer: LCM of 345, 897, 310, 682 is 3058770.
2. How to calculate the LCM of 345, 897, 310, 682?
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 345, 897, 310, 682.
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}.