LCM of 513, 684, 248, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 684, 248, 523 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, 684, 248, 523. So, keep reading to learn more.
Given numbers are 513,684,248,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,684,248,523 is 66538152.
Find LCM of 513,684,248,523 with Prime Factorization
| 2 | 513, 684, 248, 523 |
| 2 | 513, 342, 124, 523 |
| 3 | 513, 171, 62, 523 |
| 3 | 57, 171, 62, 523 |
| 19 | 19, 57, 62, 523 |
| 1, 3, 62, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 3 x 62 x 523 = 66538152
Therefore, the lowest common multiple of 513,684,248,523 is 66538152.
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 684 x 248 x 523 = 45512095968
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
248 : 1, 2, 4, 8, 31, 62, 124, 248
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,684,248,523, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
684:2x 2x 3x 3x 19
248:2x 2x 2x 31
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 45512095968/(1x684)
LCM = 45512095968/684
LCM = 66538152
Thus, we can understand that the LCM of 513,684,248,523 is 66538152.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 684, 248, 523
1. What is the LCM of 513, 684, 248, 523?
Answer: LCM of 513, 684, 248, 523 is 66538152.
2. How to calculate the LCM of 513, 684, 248, 523?
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, 684, 248, 523.
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}.