LCM of 309, 515, 810, 365, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 515, 810, 365, 141 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 309, 515, 810, 365, 141. So, keep reading to learn more.
Given numbers are 309,515,810,365,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,515,810,365,141 is 286248330.
Find LCM of 309,515,810,365,141 with Prime Factorization
| 3 | 309, 515, 810, 365, 141 |
| 5 | 103, 515, 270, 365, 47 |
| 103 | 103, 103, 54, 73, 47 |
| 1, 1, 54, 73, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 103 x 1 x 1 x 54 x 73 x 47 = 286248330
Therefore, the lowest common multiple of 309,515,810,365,141 is 286248330.
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.
309 x 515 x 810 x 365 x 141 = 6633805047750
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.
309 : 1, 3, 103, 309
515 : 1, 5, 103, 515
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
365 : 1, 5, 73, 365
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,515,810,365,141, is 1.
Now, the common factors can be found like this.
309:3x 103
515:5x 103
810:2x 3x 3x 3x 3x 5
365:5x 73
141:3x 47
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 5x 5x 103 = 23175
Therefore, the value for common factors is 23175.
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 = 6633805047750/(1x23175)
LCM = 6633805047750/23175
LCM = 286248330
Thus, we can understand that the LCM of 309,515,810,365,141 is 286248330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 515, 810, 365, 141
1. What is the LCM of 309, 515, 810, 365, 141?
Answer: LCM of 309, 515, 810, 365, 141 is 286248330.
2. How to calculate the LCM of 309, 515, 810, 365, 141?
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 309, 515, 810, 365, 141.
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}.