LCM of 508, 909, 315, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 909, 315, 909 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 508, 909, 315, 909. So, keep reading to learn more.
Given numbers are 508,909,315,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,909,315,909 is 16162020.
Find LCM of 508,909,315,909 with Prime Factorization
| 3 | 508, 909, 315, 909 |
| 3 | 508, 303, 105, 303 |
| 101 | 508, 101, 35, 101 |
| 508, 1, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 101 x 508 x 1 x 35 x 1 = 16162020
Therefore, the lowest common multiple of 508,909,315,909 is 16162020.
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.
508 x 909 x 315 x 909 = 132221485620
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.
508 : 1, 2, 4, 127, 254, 508
909 : 1, 3, 9, 101, 303, 909
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,909,315,909, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
909:3x 3x 101
315:3x 3x 5x 7
909:3x 3x 101
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 101 = 8181
Therefore, the value for common factors is 8181.
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 = 132221485620/(1x8181)
LCM = 132221485620/8181
LCM = 16162020
Thus, we can understand that the LCM of 508,909,315,909 is 16162020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 909, 315, 909
1. What is the LCM of 508, 909, 315, 909?
Answer: LCM of 508, 909, 315, 909 is 16162020.
2. How to calculate the LCM of 508, 909, 315, 909?
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 508, 909, 315, 909.
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}.