LCM of 463, 209, 312, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 209, 312, 519 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 463, 209, 312, 519. So, keep reading to learn more.
Given numbers are 463,209,312,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,209,312,519 is 5223095592.
Find LCM of 463,209,312,519 with Prime Factorization
| 3 | 463, 209, 312, 519 |
| 463, 209, 104, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 463 x 209 x 104 x 173 = 5223095592
Therefore, the lowest common multiple of 463,209,312,519 is 5223095592.
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.
463 x 209 x 312 x 519 = 15669286776
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.
463 : 1, 463
209 : 1, 11, 19, 209
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,209,312,519, is 1.
Now, the common factors can be found like this.
463:463
209:11x 19
312:2x 2x 2x 3x 13
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 15669286776/(1x3)
LCM = 15669286776/3
LCM = 5223095592
Thus, we can understand that the LCM of 463,209,312,519 is 5223095592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 209, 312, 519
1. What is the LCM of 463, 209, 312, 519?
Answer: LCM of 463, 209, 312, 519 is 5223095592.
2. How to calculate the LCM of 463, 209, 312, 519?
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 463, 209, 312, 519.
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}.