LCM of 513, 209, 480, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 209, 480, 209 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 513, 209, 480, 209. So, keep reading to learn more.
Given numbers are 513,209,480,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,209,480,209 is 902880.
Find LCM of 513,209,480,209 with Prime Factorization
| 3 | 513, 209, 480, 209 |
| 11 | 171, 209, 160, 209 |
| 19 | 171, 19, 160, 19 |
| 9, 1, 160, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 9 x 1 x 160 x 1 = 902880
Therefore, the lowest common multiple of 513,209,480,209 is 902880.
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.
513 x 209 x 480 x 209 = 10756009440
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
209 : 1, 11, 19, 209
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,209,480,209, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
209:11x 19
480:2x 2x 2x 2x 2x 3x 5
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 19x 19 = 11913
Therefore, the value for common factors is 11913.
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 = 10756009440/(1x11913)
LCM = 10756009440/11913
LCM = 902880
Thus, we can understand that the LCM of 513,209,480,209 is 902880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 209, 480, 209
1. What is the LCM of 513, 209, 480, 209?
Answer: LCM of 513, 209, 480, 209 is 902880.
2. How to calculate the LCM of 513, 209, 480, 209?
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 513, 209, 480, 209.
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}.