LCM of 365, 585, 340, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 585, 340, 646 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 365, 585, 340, 646. So, keep reading to learn more.
Given numbers are 365,585,340,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,585,340,646 is 55174860.
Find LCM of 365,585,340,646 with Prime Factorization
| 2 | 365, 585, 340, 646 |
| 5 | 365, 585, 170, 323 |
| 17 | 73, 117, 34, 323 |
| 73, 117, 2, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 73 x 117 x 2 x 19 = 55174860
Therefore, the lowest common multiple of 365,585,340,646 is 55174860.
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.
365 x 585 x 340 x 646 = 46898631000
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.
365 : 1, 5, 73, 365
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,585,340,646, is 1.
Now, the common factors can be found like this.
365:5x 73
585:3x 3x 5x 13
340:2x 2x 5x 17
646:2x 17x 19
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 17 = 850
Therefore, the value for common factors is 850.
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 = 46898631000/(1x850)
LCM = 46898631000/850
LCM = 55174860
Thus, we can understand that the LCM of 365,585,340,646 is 55174860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 365, 585, 340, 646
1. What is the LCM of 365, 585, 340, 646?
Answer: LCM of 365, 585, 340, 646 is 55174860.
2. How to calculate the LCM of 365, 585, 340, 646?
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 365, 585, 340, 646.
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}.