LCM of 660, 585, 309, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 585, 309, 369 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 660, 585, 309, 369. So, keep reading to learn more.
Given numbers are 660,585,309,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,585,309,369 is 108700020.
Find LCM of 660,585,309,369 with Prime Factorization
| 3 | 660, 585, 309, 369 |
| 3 | 220, 195, 103, 123 |
| 5 | 220, 65, 103, 41 |
| 44, 13, 103, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 44 x 13 x 103 x 41 = 108700020
Therefore, the lowest common multiple of 660,585,309,369 is 108700020.
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.
660 x 585 x 309 x 369 = 44023508100
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
309 : 1, 3, 103, 309
369 : 1, 3, 9, 41, 123, 369
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,585,309,369, is 3.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
585:3x 3x 5x 13
309:3x 103
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 44023508100/(3x135)
LCM = 44023508100/405
LCM = 108700020
Thus, we can understand that the LCM of 660,585,309,369 is 108700020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 660, 585, 309, 369
1. What is the LCM of 660, 585, 309, 369?
Answer: LCM of 660, 585, 309, 369 is 108700020.
2. How to calculate the LCM of 660, 585, 309, 369?
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 660, 585, 309, 369.
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}.