LCM of 345, 805, 585, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 805, 585, 391 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, 805, 585, 391. So, keep reading to learn more.
Given numbers are 345,805,585,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,805,585,391 is 1601145.
Find LCM of 345,805,585,391 with Prime Factorization
| 3 | 345, 805, 585, 391 |
| 5 | 115, 805, 195, 391 |
| 23 | 23, 161, 39, 391 |
| 1, 7, 39, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 1 x 7 x 39 x 17 = 1601145
Therefore, the lowest common multiple of 345,805,585,391 is 1601145.
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 805 x 585 x 391 = 63525427875
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
805 : 1, 5, 7, 23, 35, 115, 161, 805
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,805,585,391, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
805:5x 7x 23
585:3x 3x 5x 13
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 23x 23 = 39675
Therefore, the value for common factors is 39675.
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 = 63525427875/(1x39675)
LCM = 63525427875/39675
LCM = 1601145
Thus, we can understand that the LCM of 345,805,585,391 is 1601145.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 805, 585, 391
1. What is the LCM of 345, 805, 585, 391?
Answer: LCM of 345, 805, 585, 391 is 1601145.
2. How to calculate the LCM of 345, 805, 585, 391?
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, 805, 585, 391.
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}.