LCM of 315, 135, 549, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 135, 549, 811 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 315, 135, 549, 811. So, keep reading to learn more.
Given numbers are 315,135,549,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,135,549,811 is 46750095.
Find LCM of 315,135,549,811 with Prime Factorization
| 3 | 315, 135, 549, 811 |
| 3 | 105, 45, 183, 811 |
| 5 | 35, 15, 61, 811 |
| 7, 3, 61, 811 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 3 x 61 x 811 = 46750095
Therefore, the lowest common multiple of 315,135,549,811 is 46750095.
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.
315 x 135 x 549 x 811 = 18933788475
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
135 : 1, 3, 5, 9, 15, 27, 45, 135
549 : 1, 3, 9, 61, 183, 549
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,135,549,811, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
135:3x 3x 3x 5
549:3x 3x 61
811:811
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 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 18933788475/(1x405)
LCM = 18933788475/405
LCM = 46750095
Thus, we can understand that the LCM of 315,135,549,811 is 46750095.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 135, 549, 811
1. What is the LCM of 315, 135, 549, 811?
Answer: LCM of 315, 135, 549, 811 is 46750095.
2. How to calculate the LCM of 315, 135, 549, 811?
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 315, 135, 549, 811.
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}.