LCM of 318, 459, 209, 342, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 459, 209, 342, 509 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 318, 459, 209, 342, 509. So, keep reading to learn more.
Given numbers are 318,459,209,342,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,459,209,342,509 is 5175861174.
Find LCM of 318,459,209,342,509 with Prime Factorization
| 2 | 318, 459, 209, 342, 509 |
| 3 | 159, 459, 209, 171, 509 |
| 3 | 53, 153, 209, 57, 509 |
| 19 | 53, 51, 209, 19, 509 |
| 53, 51, 11, 1, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 53 x 51 x 11 x 1 x 509 = 5175861174
Therefore, the lowest common multiple of 318,459,209,342,509 is 5175861174.
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.
318 x 459 x 209 x 342 x 509 = 5310433564524
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
459 : 1, 3, 9, 17, 27, 51, 153, 459
209 : 1, 11, 19, 209
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,459,209,342,509, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
459:3x 3x 3x 17
209:11x 19
342:2x 3x 3x 19
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 19 = 1026
Therefore, the value for common factors is 1026.
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 = 5310433564524/(1x1026)
LCM = 5310433564524/1026
LCM = 5175861174
Thus, we can understand that the LCM of 318,459,209,342,509 is 5175861174.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 318, 459, 209, 342, 509
1. What is the LCM of 318, 459, 209, 342, 509?
Answer: LCM of 318, 459, 209, 342, 509 is 5175861174.
2. How to calculate the LCM of 318, 459, 209, 342, 509?
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 318, 459, 209, 342, 509.
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}.